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Akbar NS, Rafiq M, Muhammad T, Alghamdi M. Electro osmotically interactive biological study of thermally stratified micropolar nanofluid flow for Copper and Silver nanoparticles in a microchannel. Sci Rep 2024; 14:518. [PMID: 38177658 PMCID: PMC10766650 DOI: 10.1038/s41598-023-51017-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/09/2023] [Accepted: 12/29/2023] [Indexed: 01/06/2024] Open
Abstract
A novel mathematical analysis is established that summits the key features of peristaltic propulsion for a non-Newtonian micropolar fluid with the electroosmosis and heat transfer enhancement using nanoparticles. In such physiological models, the channel have a symmetric configuration in accordance with the biological problem. Being mindful of this fact, we have disclosed an integrated analysis on symmetric channel that incorporates major physiological applications. The creeping flow inference is reviewed to model this realistic problem. Flow equations are model using cartesian coordinates and simplified using long wave length and low Reynolds number approximation. Nonlinear linear couple equations are solving numerically. We have studied the variation in the properties of nanofluid developed by two different types of nanoparticles (i.e. Cu and Ag nanoparticles). Graphical illustrations are unveiled to highlight the physical aspects of nanoparticles and flow parameters. The exploration demonstrates that the micro-rotation of the nano-liquid elements enhances the thermal conductivity of the fluid movement. The effect of micropolar fluid parameters on mean flow and pressure variables is also presented.
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Affiliation(s)
- Noreen Sher Akbar
- DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan.
| | - Maimona Rafiq
- Department of Mathematics, COMSATS University Islamabad, Attock, 43600, Pakistan
| | - Taseer Muhammad
- Department of Mathematics, College of Science, King Khalid University, Abha, 61413, Saudi Arabia
| | - Metib Alghamdi
- Department of Mathematics, College of Science, King Khalid University, Abha, 61413, Saudi Arabia
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Farooq S, Shoaib T, Bukhari S, Alqahtani A, Malik M, Abdullaev S, Alhazmi S. Peristaltic motion of Jeffrey fluid with nonlinear mixed convection. Heliyon 2023; 9:e21451. [PMID: 38027802 PMCID: PMC10643477 DOI: 10.1016/j.heliyon.2023.e21451] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/05/2023] [Revised: 10/17/2023] [Accepted: 10/21/2023] [Indexed: 12/01/2023] Open
Abstract
Since previous few decays the consideration of non-Newtonian liquids motion due to its immense usages in medicine, biology, industrial procedures, chemistry of catalysts and in environment. Various studies examine the significance of bio-materials flow in physiological procedures to explore the cure of diagnosed symptoms of disease appearing during movement in a human physiological system. To illustrate the characteristics of physiological liquids various non-Newtonian models have been proposed, but yet no such single liquid model is exploited which describes all the properties of nonlinear behaving liquids. Among these several non-Newtonian models, Jeffery liquid model should be reduced to its base fluid case (i.e. viscous liquid) by choosing λ₁ = λ₂ = 0. Various physiological materials which represents both linear and nonlinear characteristics respectively blood is one of these. Jeffery fluid and peristaltic motion have some common properties such as radii, relaxation time and retardation time. Moreover heat and mass transfer is also an important phenomenon which is suitable for various physiological processes such as hemodialysis and oxygenation etc. Thus due to such motivating facts this research is conducted to investigate the peristaltic motion of electrically conducting Jeffery liquid. The peristaltic propagating channel walls are asymmetric and inclined. Joule heating and magnetic field effects are considered by applying magnetic field in transverse direction to the flow. Further conservation laws modelled the flow situation via considering quadric mix convection, thermos diffusion and diffusion-thermos, heat generation and absorption, chemical reaction with activation energy features. Moreover, creeping flow and long wavelength assumptions are used to simplify the mathematical modelling. The reduced system of equation is solved numerically through built-in technique in Mathematica software. This built-in technique is working through ND Solve command and shooting and RK-Felburg numerical schemes are behind this technique. These numerical results are used to discuss the flow quantities i.e., velocity, temperature and concentration against the sundry dimensionless quantities. Examining the results it comes to know that both thermal and concentration nonlinear mix convection have oppositely affecting the axial velocity. Both heat and mass transfer are escalating function of thermo-diffusion/diffusion-thermo aspects.
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Affiliation(s)
- S. Farooq
- Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan
| | - T. Shoaib
- Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan
| | - S.Z.B. Bukhari
- Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan
| | - A.S. Alqahtani
- Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia
| | - M.Y. Malik
- Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia
| | - S. Abdullaev
- Senior Researcher, Faculty of Chemical Engineering, New Uzbekistan University, Tashkent, Uzbekistan
- Senior Researcher, Department of Science and Innovation, Tashkent State Pedagogical University named after Nizami, Bunyodkor street 27, Tashkent, Uzbekistan
| | - S.E. Alhazmi
- Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia
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Alqahtani AM, Zeeshan, Khan W, Amina, Alhabeeb SA, El-Wahed Khalifa HA. Stability of magnetohydrodynamics free convective micropolar thermal liquid movement over an exponentially extended curved surface. Heliyon 2023; 9:e21807. [PMID: 38027973 PMCID: PMC10663869 DOI: 10.1016/j.heliyon.2023.e21807] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/15/2023] [Revised: 10/27/2023] [Accepted: 10/29/2023] [Indexed: 12/01/2023] Open
Abstract
Micro polar fluids have a wide variety of applications in biomedical, manufacturing, and technical activities, such as nuclear structures, biosensors, electronic heating and cooling, etc. The aim of this study is to investigate the properties of heat transfer on a magnetohydrodynamic free convection movement of micro polar fluid over an exponentially stretchable curved surface. The flow is non-turbulent and steady. The effects of Joule heating, varying thermal conductivity, irregular heat reservoir, and non-linear radiation are anticipated. The modelled PDEs are converted to ODEs via transformation, and the integration problems are then addressed using ND-Solve method along with bvp4c package. It is observed that velocity is reduced and the micro rotation field is increased as the micro rotation parameter is increased. It is witnessed that the temperature of the fluid enhances as the Eckert number is augmented. The velocity is increasing function of the curvature parameter while the decreases with increasing magnetic factor. The distribution of temperature is improved by a rise in temperature-dependent thermal conductivity characteristic. It is investigated that as the values of temperature ratio, Prandtl number, and the Biot number are increased the temperature distribution is enhanced. For the stability of the numerical results, the mean square residue error (MSRE) and total mean square residue error (TMSRE) are computed. For the confirmation of the present analysis, a comparison is done with the published study and excellent settlement is found.
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Affiliation(s)
- Aisha M. Alqahtani
- Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh, 11671, Saudi Arabia
| | - Zeeshan
- Department of Mathematics & Statistics Bacha Khan University, Charsadda, KP, 24420, Pakistan
| | - Waris Khan
- Department of Mathematics & Statistics, Hazara University, Mansehra, 12120, KP, Pakistan
| | - Amina
- Department of Physics Bacha Khan University, Charsadda, KP, 24420, Pakistan
| | - Somayah Abdualziz Alhabeeb
- Department of Mathematics, College of Science and Arts, Qassim University, Al-Mithnab, 51931, Saudi Arabia
| | - Hamiden Abd El-Wahed Khalifa
- Department of Mathematics, College of Science and Arts, Qassim University, Al-Badaya, 51951, Saudi Arabia
- Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, 12613, Egypt
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Vaidya H, Rajashekhar C, Prasad KV, Khan SU, Mebarek-Oudina F, Patil A, Nagathan P. Channel flow of MHD bingham fluid due to peristalsis with multiple chemical reactions: an application to blood flow through narrow arteries. SN APPLIED SCIENCES 2021. [DOI: 10.1007/s42452-021-04143-0] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022] Open
Abstract
AbstractThe present analysis emphasizes the effects of variable properties on Bingham fluid under MHD peristaltic transport. Due to the impact of mechanical forces on the applied magnetic field on the conducting fluid, the fluid stream gets altered. These principle targets drug transport and control of blood flow during surgeries; hence the impact of MHD flow with convective and porous boundary conditions is considered. Further, the implications of homogeneous and heterogeneous reactions are analyzed by considering wall properties. The governing equations are turned dimensionless by appropriate similarity transformations. The series solution is obtained for temperature, velocity, and concentration by perturbation method with lubrication approach. The graphical representation of the pertinent parameters on the physiological flow quantities is depicted by applying for MATLAB 2019b program. The obtained results reveal that the rise in the magnetic parameter diminishes the velocity and temperature profiles. Further, the impact of variable viscosity slightly improves the magnitude of the trapped bolus. The homogenous and heterogeneous reaction parameters have a converse effect on the concentration distribution. Moreover, the present investigation finds its applications to perceive the complex rheological functioning of blood flow through narrow arteries.
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MHD Effects on Ciliary-Induced Peristaltic Flow Coatings with Rheological Hybrid Nanofluid. COATINGS 2020. [DOI: 10.3390/coatings10020186] [Citation(s) in RCA: 41] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Present theoretical investigation is a mathematical illustration of an application to endoscopy by incorporating hybrid nanoparticles and an induced magnetic field with a rheological fluid model for more realistic results. Rheological fluid behavior is characterized by the Ostwald-de-Waele power-law model. A hybrid nanofluid mechanism is considered comprising platelet-shaped nanoparticles since nanoparticles are potential drug transportation tools in biomedical applications. Moreover, ciliary activity is encountered regarding their extensive applications in performing complex functions along with buoyancy effects. An endoscope is inserted inside a ciliated tube and peristalsis occurred due to ciliary activity in the gap between tube and endoscope. A non-Newtonian model is developed by mathematical formulation which is tackled analytically using homotopy analysis. The outcomes are interpreted graphically along with the pressure rise and streamlining configuration for the case of negligible inertial forces and long wavelength. A three-dimensional graphical interpretation of axial velocity is studied as well. Moreover, tables are prepared and displayed for a more physical insight.
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Sadiq MA, Waqas M, Hayat T, Alsaedi A. Modeling and analysis of Maxwell nanofluid considering mixed convection and Darcy–Forchheimer relation. APPLIED NANOSCIENCE 2019. [DOI: 10.1007/s13204-019-00968-9] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Mekheimer KS, Abo-Elkhair RE, Moawad AMA. Electro-osmotic Flow of Non-Newtonian Biofluids Through Wavy Micro-Concentric Tubes. BIONANOSCIENCE 2018. [DOI: 10.1007/s12668-018-0523-6] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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Hayat T, Akram J, Alsaedi A, Zahir H. Endoscopy effect in mixed convective peristalsis of Powell-Eyring nanofluid. J Mol Liq 2018. [DOI: 10.1016/j.molliq.2018.01.064] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Farooq S, Hayat T, Alsaedi A, Asghar S. Mixed convection peristalsis of carbon nanotubes with thermal radiation and entropy generation. J Mol Liq 2018. [DOI: 10.1016/j.molliq.2017.11.179] [Citation(s) in RCA: 27] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Sadiq M, Waqas M, Hayat T. Importance of Darcy-Forchheimer relation in chemically reactive radiating flow towards convectively heated surface. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.10.063] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Farooq S, Awais M, Naseem M, Hayat T, Ahmad B. Magnetohydrodynamic peristalsis of variable viscosity Jeffrey liquid with heat and mass transfer. NUCLEAR ENGINEERING AND TECHNOLOGY 2017. [DOI: 10.1016/j.net.2017.07.013] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Hayat T, Shah F, Alsaedi A, Khan MI. Development of homogeneous/heterogeneous reaction in flow based through non-Darcy Forchheimer medium. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2017. [DOI: 10.1142/s0219633617500456] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The objective here is to analyze the influence of homogeneous and heterogeneous reactions in flow induced by convectively heated sheet with nonlinear velocity and variable thickness. Porous medium effect is characterized by Darcy–Forchheimer consideration. A simple isothermal model of homogeneous–heterogeneous reactions is used to regulate the temperature of stretched surface. Thermodynamics processes of homogeneous–heterogeneous reactions analyze the effect of temperature phase changes. Resulting problems are computed for the convergent solutions of velocity, temperature and concentration. Analysis for the influential variables on the physical quantities is graphically examined. Our computed results interpret that velocity field decays for larger magnetic parameter while temperature field enhances for higher estimation of Biot number.
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Affiliation(s)
- Tasawar Hayat
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
| | - Faisal Shah
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - Ahmed Alsaedi
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
| | - Muhammad Ijaz Khan
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
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Electro-magneto-hydrodynamic peristaltic pumping of couple stress biofluids through a complex wavy micro-channel. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.04.037] [Citation(s) in RCA: 78] [Impact Index Per Article: 11.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Tanveer A, Hayat T, Alsaedi A, Ahmad B. On modified Darcy's law utilization in peristalsis of Sisko fluid. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.04.041] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Khan MI, Hayat T, Waqas M, Khan MI, Alsaedi A. Impact of heat generation/absorption and homogeneous-heterogeneous reactions on flow of Maxwell fluid. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.03.049] [Citation(s) in RCA: 67] [Impact Index Per Article: 9.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Tanveer A, Hayat T, Alsaedi A, Ahmad B. Mixed convective peristaltic flow of Sisko fluid in curved channel with homogeneous-heterogeneous reaction effects. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.03.001] [Citation(s) in RCA: 37] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Khan MI, Waqas M, Hayat T, Alsaedi A. Magnetohydrodynamic (MHD) stagnation point flow of Casson fluid over a stretched surface with homogeneous–heterogeneous reactions. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2017. [DOI: 10.1142/s0219633617500225] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
This article communicates the study of magnetohydrodynamic (MHD) stagnation point flow of Casson liquid towards a stretched surface. Chemical reaction model involving both heat and mass transfer is established. Effects of viscous dissipation and Joule heating are also considered. Appropriate transformations yield strong nonlinear ordinary differential system. The obtained nonlinear systems have been solved through built-in shooting method. Velocity field shows decreasing behavior for higher estimation of magnetic parameter while temperature field shows increasing behavior for larger homogeneous heat parameter. Graphical behaviors of velocity, temperature and concentration are analyzed comprehensively corresponding to various pertinent parameters.
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Affiliation(s)
- Muhammad Ijaz Khan
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - Muhammad Waqas
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - Tasawar Hayat
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
- Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Faculty of Science, Department of Mathematics, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
| | - Ahmed Alsaedi
- Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Faculty of Science, Department of Mathematics, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
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Ghasemi SE, Ranjbar A, Hosseini M. Thermal and hydrodynamic characteristics of water-based suspensions of Al2O3 nanoparticles in a novel minichannel heat sink. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.01.070] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Hayat T, Kiran A, Imtiaz M, Alsaedi A. Effect of homogeneous–heterogeneous reactions in stagnation point flow of third grade fluid past a variable thickness stretching sheet. Neural Comput Appl 2017. [DOI: 10.1007/s00521-017-2913-z] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Tanveer A, Hayat T, Alsaedi A, Ahmad B. Numerical simulation for peristalsis of Carreau-Yasuda nanofluid in curved channel with mixed convection and porous space. PLoS One 2017; 12:e0170029. [PMID: 28151968 PMCID: PMC5289439 DOI: 10.1371/journal.pone.0170029] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/04/2016] [Accepted: 12/26/2016] [Indexed: 11/18/2022] Open
Abstract
Main theme of present investigation is to model and analyze the peristaltic activity of Carraeu-Yasuda nanofluid saturating porous space in a curved channel. Unlike the traditional approach, the porous medium effects are characterized by employing modified Darcy’s law for Carreau-Yasuda fluid. To our knowledge this is first attempt in this direction for Carreau-Yasuda fluid. Heat and mass transfer are further considered. Simultaneous effects of heat and mass transfer are examined in presence of mixed convection, viscous dissipation and thermal radiation. The compliant characteristics for channel walls are taken into account. The resulting complex mathematical system has been discussed for small Reynolds number and large wavelength concepts. Numerical approximation to solutions are thus plotted in graphs and the physical description is presented. It is concluded that larger porosity in a medium cause an enhancement in fluid velocity and reduction in concentration.
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Affiliation(s)
- Anum Tanveer
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
- * E-mail:
| | - T. Hayat
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
| | - A. Alsaedi
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
| | - B. Ahmad
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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