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Dolui S, Bhaumik B, De S, Changdar S. Nanoparticle aggregation and electro-osmotic propulsion in peristaltic transport of third-grade nanofluids through porous tube. Comput Biol Med 2024; 176:108617. [PMID: 38772055 DOI: 10.1016/j.compbiomed.2024.108617] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2023] [Revised: 04/22/2024] [Accepted: 05/13/2024] [Indexed: 05/23/2024]
Abstract
In the modern era, the utilization of electro-kinetic-driven microfluidic pumping procedures spans various biomedical and physiological domains. The present study introduces a mathematical framework for characterizing the hemodynamics of peristaltic blood flow within a porous tube infused with ZrO2 nanoparticles. This model delves into the interactions between buoyancy, electro-osmotic forces, and aggregated nanoparticles to discern their influence on blood flow. We employ a third-grade fluid model to elucidate the rheological behavior of the pseudoplastic fluid which refers to its response to applied shear stress, specifically the relationship between shear rate and viscosity. The collective influence of accommodating heat convection, joule heating and aggregated nanoparticles contributes to the thermal behavior of fluids. The distribution of electric potential within the electric double layer (EDL) is predicted by solving the Poisson-Boltzmann equation. The rescaled equations are simplified using the lubrication and Debye-Hückel models as the underlying frameworks. The novel homotopy perturbation method is employed to obtain solutions for the finalized non-linear partial differential equation. Theoretical assessment of hemodynamic impacts involves plotting graphical configurations for various emerging parameters. As electro-osmotic parameter increase, the bloodstream encounters greater impedance, thereby enhancing the effectiveness of electro-osmotic assistance. Concurrently, elevated convective heat markedly reduces the rate of heat transfer, potentially resulting in a drop in blood temperature. It is important to note that maximum shear stress occurs when the artery is positioned horizontally, underscoring the significant impact of arterial alignment on wall shear stress. Skin friction intensifies with the increasing wall permeability as aggregated nanofluids pass through the arterial conduit. Therefore, aggregation of nanoparticles into the bloodstream yields a broader spectrum of distinctive physiological features. In summary, these findings enable more effective tool and device designs for addressing medication administration challenges and electro-therapies.
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Affiliation(s)
- Soumini Dolui
- Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata 700 009, India.
| | - Bivas Bhaumik
- Department of Mathematics, National Institute of Technology, Rourkela 769008, Odisha, India.
| | - Soumen De
- Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata 700 009, India.
| | - Satyasaran Changdar
- Department of Food Science, University of Copenhagen, Copenhagen, DK-1958, Frederiksberg, Denmark.
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2
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Shah SAA, Idrees M, Bariq A, Ahmad B, Ali B, Ragab AE, Az-Zo'bi EA. Comparative study of some non-Newtonian nanofluid models across stretching sheet: a case of linear radiation and activation energy effects. Sci Rep 2024; 14:4950. [PMID: 38418531 PMCID: PMC10901865 DOI: 10.1038/s41598-024-54398-x] [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: 11/05/2023] [Accepted: 02/12/2024] [Indexed: 03/01/2024] Open
Abstract
The use of renewable energy sources is leading the charge to solve the world's energy problems, and non-Newtonian nanofluid dynamics play a significant role in applications such as expanding solar sheets, which are examined in this paper, along with the impacts of activation energy and solar radiation. We solve physical flow issues using partial differential equations and models like Casson, Williamson, and Prandtl. To get numerical solutions, we first apply a transformation to make these equations ordinary differential equations, and then we use the MATLAB-integrated bvp4c methodology. Through the examination of dimensionless velocity, concentration, and temperature functions under varied parameters, our work explores the physical properties of nanofluids. In addition to numerical and tabular studies of the skin friction coefficient, Sherwood number, and local Nusselt number, important components of the flow field are graphically shown and analyzed. Consistent with previous research, this work adds important new information to the continuing conversation in this area. Through the examination of dimensionless velocity, concentration, and temperature functions under varied parameters, our work explores the physical properties of nanofluids. Comparing the Casson nanofluid to the Williamson and Prandtl nanofluids, it is found that the former has a lower velocity. Compared to Casson and Williamson nanofluid, Prandtl nanofluid advanced in heat flux more quickly. The transfer of heat rates are 25.87 % , 33.61 % and 40.52 % at R d = 0.5 , R d = 1.0 , and R d = 1.5 , respectively. The heat transfer rate is increased by 6.91 % as the value of Rd rises from 1.0 to 1.5. This study is further strengthened by a comparative analysis with previous research, which is complemented by an extensive table of comparisons for a full evaluation.
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Affiliation(s)
- Syed Asif Ali Shah
- Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
| | - Muhammad Idrees
- Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
| | - Abdul Bariq
- Department of Mathematics, Laghman University, Mehtarlam City, Laghman, 2701, Afghanistan.
| | - Bilal Ahmad
- Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
| | - Bagh Ali
- School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, 518055, China
| | - Adham E Ragab
- Department of Industrial Engineering, College of Engineering, King Saud University, P.O. Box 800, 11 421, Riyadh, Saudi Arabia
| | - Emad A Az-Zo'bi
- Department of Mathematics, Mutah University, Mutah, Al Karak, Jordan
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3
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Chinnasamy P, Sivajothi R, Sathish S, Abbas M, Jeyakrishnan V, Goel R, Alqahtani MS, Loganathan K. Peristaltic transport of Sutterby nanofluid flow in an inclined tapered channel with an artificial neural network model and biomedical engineering application. Sci Rep 2024; 14:555. [PMID: 38177235 PMCID: PMC10767104 DOI: 10.1038/s41598-023-49480-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2023] [Accepted: 12/08/2023] [Indexed: 01/06/2024] Open
Abstract
Modern energy systems are finding new applications for magnetohydrodynamic rheological bio-inspired pumping systems. The incorporation of the electrically conductive qualities of flowing liquids into the biological geometries, rheological behavior, and propulsion processes of these systems was a significant effort. Additional enhancements to transport properties are possible with the use of nanofluids. Due to their several applications in physiology and industry, including urine dynamics, chyme migration in the gastrointestinal system, and the hemodynamics of tiny blood arteries. Peristaltic processes also move spermatozoa in the human reproductive system and embryos in the uterus. The present research examines heat transport in a two-dimensional deformable channel containing magnetic viscoelastic nanofluids by considering all of these factors concurrently, which is vulnerable to peristaltic waves and hall current under ion slip and other situations. Nanofluid rheology makes use of the Sutterby fluid model, while nanoscale effects are modeled using the Buongiorno model. The current study introduces an innovative numerical computing solver utilizing a Multilayer Perceptron feed-forward back-propagation artificial neural network (ANN) with the Levenberg-Marquardt algorithm. Data were collected for testing, certifying, and training the ANN model. In order to make the dimensional PDEs dimensionless, the non-similar variables are employed and calculated by the Homotopy perturbation technique. The effects of developing parameters such as Sutterby fluid parameter, Froude number, thermophoresis, ion-slip parameter, Brownian motion, radiation, Eckert number, and Hall parameter on velocity, temperature, and concentration are demonstrated. The machine learning model chooses data, builds and trains a network, and subsequently assesses its performance using the mean square error metric. Current results declare that the improving Reynolds number tends to increase the pressure rise. Improving the Hall parameter is shown to result in a decrease in velocity. When raising a fluid's parameter, the temperature profile rises.
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Affiliation(s)
- P Chinnasamy
- Department of Computer Science and Engineering, MLR Institute of Technology, Hyderabad, Telangana, India
| | - R Sivajothi
- Department of Management, R L Institute of Management Studies (A Unit of Subbalakshmi Lakshmipathy College of Science), Madurai, Tamil Nadu, India
| | - S Sathish
- Department of Mathematics, School of Science, National Institute of Technology, Tadepalligudem, Andhra Pradesh, India
| | - Mohamed Abbas
- Electrical Engineering Department, College of Engineering, King Khalid University, 61421, Abha, Saudi Arabia
| | - V Jeyakrishnan
- Department of Computer Science and Engineering, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India
| | - Rajat Goel
- Department of Computer Science and Engineering, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India
| | - Mohammed S Alqahtani
- Radiological Sciences Department, College of Applied Medical Sciences, King Khalid University, 61421, Abha, Saudi Arabia
- BioImaging Unit, Space Research Centre, Michael Atiyah Building, University of Leicester, Leicester, LE1 7RH, UK
| | - K Loganathan
- Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India.
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Abd-Alla AM, Abo-Dahab SM, Salah DM, Bayones FS, Abdelhafez MA. Magneto-hydrodynamic peristaltic flow of a Jeffery fluid in the presence of heat transfer through a porous medium in an asymmetric channel. Sci Rep 2023; 13:21088. [PMID: 38036626 PMCID: PMC10689776 DOI: 10.1038/s41598-023-48137-x] [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: 07/15/2023] [Accepted: 10/23/2023] [Indexed: 12/02/2023] Open
Abstract
In the present paper, the effects of magnetic field and heat transfer on the peristaltic flow of a Jeffery fluid through a porous medium in an asymmetric channel have been studied. The governing non-linear partial differential equations representing the flow model are transmuted into linear ones by employing the appropriate non-dimensional parameters under the assumption of long wavelength and low Reynolds number. Exact solutions are presented for the stream function, pressure gradient, and temperature. The frictional force and pressure rise are both computed using numerical integration. Using MATLAB R2023a software, a parametric analysis is performed, and the resulting data is represented graphically. For all physical quantities considered, numerical calculations were made and represented graphically. Trapping phenomena are discussed graphically. The obtained results can be applied to enhance pumping systems in engineering and gastrointestinal functions. This analysis permits body fluids such as blood and lymph to easily move inside the arteries and veins, allowing oxygen supply, waste elimination, and other necessary elements.
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Affiliation(s)
- A M Abd-Alla
- Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.
| | - S M Abo-Dahab
- Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt
| | - Doaa M Salah
- Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
| | - F S Bayones
- Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, 21944, Taif, Saudi Arabia
| | - M A Abdelhafez
- Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
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Maranna T, Sachhin SM, Mahabaleshwar US, Hatami M. Impact of Navier's slip and MHD on laminar boundary layer flow with heat transfer for non-Newtonian nanofluid over a porous media. Sci Rep 2023; 13:12634. [PMID: 37537229 PMCID: PMC10400554 DOI: 10.1038/s41598-023-39153-y] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/07/2023] [Accepted: 07/20/2023] [Indexed: 08/05/2023] Open
Abstract
The current studies analytically summarize the impact of magnetohydrodynamic and thermal radiation on the non-Newtonian continuous uniform motion of viscid non-compressible nanofluid across a penetrable stretching/shrinking sheet, even though accomplish Navier's first and second order slips along mass transpiration. Blood-bearing silver and copper nanomaterials have distinct flow and heat transfer properties when exposed to heat. Silver (Ag) as well as copper (Cu) nanoparticles are assumed to be present in blood as the non-Newtonian liquid; this fluid serves as the base. We anticipate that the current study will be useful in fields including food, petrochemical products, and medicines, as well as blood circulation, and highly beneficial for patients who are dealing with blood clotting in the uterus, which may result in infertility or cancer, to evaluate the blood flow in the tube. Employing the similarity conversion technique, the ruling partial differential equations are modified into a couple of non-linear ordinary differential equations. Then the transformed ordinary differential equations are analytically solved with the Laplace transformation and expressed in terms of an incomplete gamma function. The current analytical results are compared to previous studies. It is addressed how several physical features such as magnetic field M, Navier's first and second order slip, permeability, Prandtl number Pr, and radiation parameter affect non-dimensional velocity as well as temperature patterns through graphs. The results obtained reveal that there is an enhancement in the rate of heat transfer with the rise in nanoparticle volume fraction and radiation. The temperature distribution is also influenced by the presence of Prandtl numbers, radiation, solid volume fraction, permeability, and slip conditions. This shows that the solid volume fraction of nanoparticles can be used to control the behaviour of heat transfer and nanofluid flows.
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Affiliation(s)
- T Maranna
- Department of Studies in Mathematics, Shivagangotri, Davangere University, Davangere, India
| | - S M Sachhin
- Department of Studies in Mathematics, Shivagangotri, Davangere University, Davangere, India
| | - U S Mahabaleshwar
- Department of Studies in Mathematics, Shivagangotri, Davangere University, Davangere, India.
| | - M Hatami
- Department of Mechanical Engineering, Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.
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Hayat T, Nazir S, Farooq S, Alsaedi A, Momani S. Impacts of entropy generation in radiative peristaltic flow of variable viscosity nanomaterial. Comput Biol Med 2023; 155:106699. [PMID: 36857941 DOI: 10.1016/j.compbiomed.2023.106699] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/05/2021] [Revised: 09/18/2022] [Accepted: 11/21/2022] [Indexed: 02/25/2023]
Abstract
Current analysis highlights the aspects of different nanoparticles in peristalsis with entropy generation. Mathematical equations of considered problem are modelled via conservation laws for mass, momentum and energy. Such equations contain variable viscosity, nonlinear thermal radiation, viscous dissipation, heat generation/absorption and mixed convection aspects. Boundary conditions comprise the second order velocity and first order thermal slip effects. Entropy expression is obtained by utilization thermodynamics. Simplified and dimensionless forms of the considered conservative laws are obtained through lubrication technique. Resulting system of equations subject to the considered boundary conditions is solved numerically via built-in shooting procedure in Mathematica. Such numerical procedure is very suitable to obtain numerical results directly and fastly in the form of graphs. Further all the considered flow quantities are discussed graphically for the significant parameters of interest in detail. Both velocity and temperature are decreasing against large volume fraction parameter. Increasing temperature dependent viscosity effects decrease the entropy and enhance the Bejan number.
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Affiliation(s)
- T Hayat
- Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan
| | - Sania Nazir
- Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan
| | - S Farooq
- Department of Mathematics and Statistics, Riphah International University I-14, Islamabad, 44000, Pakistan.
| | - A 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
| | - S Momani
- Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates
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Awais M, Shoaib M, Raja MAZ, Arif S, Malik MY, Nisar KS, Ismail KA. Endoscopy applications for the second law analysis in hydromagnetic peristaltic nanomaterial rheology. Sci Rep 2022; 12:1580. [PMID: 35091533 PMCID: PMC8799696 DOI: 10.1038/s41598-022-04945-1] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2021] [Accepted: 12/28/2021] [Indexed: 12/05/2022] Open
Abstract
In current study, analysis is presented for peristaltic motion of applied magnetic field and entropy generation within couple stress (Cu/H2O) nanofluid through an endoscope. An endoscope contains two coaxial cylindrical tubes in which the internal tube is nonflexible while the external tube has sinusoidal wave passing through the boundary. Influences of mixed convection along with applied magnetic field are encountered as well. Formulated governing model is fabricated introducing long wavelength and creeping Stokesian flow approximation which are then analyzed numerically by utilizing Adams Bashforth method. For a physical insight, results are demonstrated to examine the behaviors of flow profiles and entropy generation number for emerging flow parameters with the help of graphs, bar-charts and tables.
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Affiliation(s)
- Muhammad Awais
- Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, 43600, Pakistan
| | - Muhammad Shoaib
- Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, 43600, Pakistan
| | - Muhammad Asif Zahoor Raja
- Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin, 64002, Taiwan, ROC.
| | - Saba Arif
- Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, 43600, Pakistan
| | - Muhammad Yousaf Malik
- Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia
| | - Kottakkaran Sooppy Nisar
- Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia.
| | - Khadiga Ahmed Ismail
- Department of Clinical Laboratory Sciences, College of Applied Medical Sciences, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia
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