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Almutairi DK. Analysis for bioconvection due to magnetic induction of Casson nanoparticles subject to variable thermal conductivity. Sci Rep 2024; 14:9837. [PMID: 38684794 PMCID: PMC11058857 DOI: 10.1038/s41598-024-59478-6] [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: 01/27/2024] [Accepted: 03/21/2024] [Indexed: 05/02/2024] Open
Abstract
Owing to valuable significance of bioconvective transport phenomenon in interaction of nanoparticles, different applications are suggested in field of bio-technology, bio-fuels, fertilizers and soil sciences. It is well emphasized fact that thermal outcomes of nanofluids can be boosted under the consideration of various thermal sources. The aim of current research is to test the induction of induced magnetic force in bioconvective transport of non-Newtonian nanofluid. The rheological impact of non-Newtonian materials is observed by using Casson fluid with suspension of microorganisms. The chemical reaction effected are interpreted. The thermal conductivity of material is assumed to be fluctuated with temperature fluctuation. The flow pattern is endorsed by stretching surface following the stagnation point flow. Under the defined flow assumptions, the problem is formulated. A computational software with shooting technique is used to present the simulations. A comprehensive analysis for problem is presented. It is claimed that the interpretation of induced magnetic force exclusively enhanced the thermal phenomenon.
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Affiliation(s)
- D K Almutairi
- Department of Mathematics, College of Science Al-Zulfi, Majmaah University, 11952, Al-Majmaah, Saudi Arabia.
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Sharma BK, Kumar A, Gandhi R, Bhatti MM, Mishra NK. Entropy Generation and Thermal Radiation Analysis of EMHD Jeffrey Nanofluid Flow: Applications in Solar Energy. NANOMATERIALS (BASEL, SWITZERLAND) 2023; 13:544. [PMID: 36770505 PMCID: PMC9920679 DOI: 10.3390/nano13030544] [Citation(s) in RCA: 6] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/17/2022] [Revised: 01/26/2023] [Accepted: 01/26/2023] [Indexed: 06/18/2023]
Abstract
This article examines the effects of entropy generation, heat transmission, and mass transfer on the flow of Jeffrey fluid under the influence of solar radiation in the presence of copper nanoparticles and gyrotactic microorganisms, with polyvinyl alcohol-water serving as the base fluid. The impact of source terms such as Joule heating, viscous dissipation, and the exponential heat source is analyzed via a nonlinear elongating surface of nonuniform thickness. The development of an efficient numerical model describing the flow and thermal characteristics of a parabolic trough solar collector (PTSC) installed on a solar plate is underway as the use of solar plates in various devices continues to increase. Governing PDEs are first converted into ODEs using a suitable similarity transformation. The resulting higher-order coupled ODEs are converted into a system of first-order ODEs and then solved using the RK 4th-order method with shooting technique. The remarkable impacts of pertinent parameters such as Deborah number, magnetic field parameter, electric field parameter, Grashof number, solutal Grashof number, Prandtl number, Eckert number, exponential heat source parameter, Lewis number, chemical reaction parameter, bioconvection Lewis number, and Peclet number associated with the flow properties are discussed graphically. The increase in the radiation parameter and volume fraction of the nanoparticles enhances the temperature profile. The Bejan number and entropy generation rate increase with the rise in diffusion parameter and bioconvection diffusion parameter. The novelty of the present work is analyzing the entropy generation and solar radiation effects in the presence of motile gyrotactic microorganisms and copper nanoparticles with polyvinyl alcohol-water as the base fluid under the influence of the source terms, such as viscous dissipation, Ohmic heating, exponential heat source, and chemical reaction of the electromagnetohydrodynamic (EMHD) Jeffrey fluid flow. The non-Newtonian nanofluids have proven their great potential for heat transfer processes, which have various applications in cooling microchips, solar energy systems, and thermal energy technologies.
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Affiliation(s)
- Bhupendra Kumar Sharma
- Department of Mathematics, Birla Institute of Technology and Science, Pilani 333031, India
| | - Anup Kumar
- Department of Mathematics, Birla Institute of Technology and Science, Pilani 333031, India
| | - Rishu Gandhi
- Department of Mathematics, Birla Institute of Technology and Science, Pilani 333031, India
| | - Muhammad Mubashir Bhatti
- College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
- Material Science, Innovation and Modelling (MaSIM) Research Focus Area, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
| | - Nidhish Kumar Mishra
- Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia
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Modeling and analysis of unsteady second-grade nanofluid flow subject to mixed convection and thermal radiation. Soft comput 2022. [DOI: 10.1007/s00500-021-06575-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Dawar A, Saeed A, Islam S, Shah Z, Kumam W, Kumam P. Electromagnetohydrodynamic bioconvective flow of binary fluid containing nanoparticles and gyrotactic microorganisms through a stratified stretching sheet. Sci Rep 2021; 11:23159. [PMID: 34848767 PMCID: PMC8633348 DOI: 10.1038/s41598-021-02320-0] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/12/2021] [Accepted: 11/12/2021] [Indexed: 11/09/2022] Open
Abstract
Bioconvection has recently been the subject of dispute in a number of biotechnological fields that depend on fluids and their physical properties. When mixed nanofluids are subjected to heat and mass transmission, the process of bioconvection occurs. This attempt conveys the theoretical analysis of two-dimensional electrically conducting and magnetically susceptible binary fluid containing nanoparticles and gyrotactic microorganisms past a stratified stretching surface. Furthermore binary chemical reaction, thermal radiation, and activation energy are taken into assumptions. The analytical solution based on HAM has been performed. The convergence of HAM is presented with the help of figures. The present study is compared with previously published results and has established an excessive agreement which validate the present study. It is perceived that the presence and absence of an electric field influences the variations in fluid velocities due to presence of magnetic field. The micropolar constant heightens the velocity and microrotation of the fluid flow. The buoyancy parameter and bioconvection Rayleigh number diminish the velocity function while these parameters show dual impact on microrotation function. The skin friction and couple stress escalates with the increasing buoyancy ratio parameter and bioconvection Rayleigh number.
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Affiliation(s)
- Abdullah Dawar
- Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan
| | - Anwar Saeed
- Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand
| | - Saeed Islam
- Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan
| | - Zahir Shah
- Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, Khyber Pakhtunkhwa, 28420, Pakistan
| | - Wiyada Kumam
- Applied Mathematics for Science and Engineering Research Unit (AMSERU), Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Thanyaburi, Pathumthani, 12110, Thailand.
| | - Poom Kumam
- Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand. .,Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan.
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Al-Khaled K, Khan MI, Khan SU, Malik M, Qayyum S. Non-uniform heat source/sink applications for the radiative flow of Brinkman micropolar nanofluid with microorganisms. COMPUT THEOR CHEM 2021. [DOI: 10.1016/j.comptc.2021.113330] [Citation(s) in RCA: 1] [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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Xu YJ, Bilal M, Al-Mdallal Q, Khan MA, Muhammad T. Gyrotactic micro-organism flow of Maxwell nanofluid between two parallel plates. Sci Rep 2021; 11:15142. [PMID: 34312440 PMCID: PMC8313715 DOI: 10.1038/s41598-021-94543-4] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/16/2021] [Accepted: 07/06/2021] [Indexed: 01/09/2023] Open
Abstract
The present study explores incompressible, steady power law nanoliquid comprising gyrotactic microorganisms flow across parallel plates with energy transfer. In which only one plate is moving concerning another at a time. Nonlinear partial differential equations have been used to model the problem. Using Liao's transformation, the framework of PDEs is simplified to a system of Ordinary Differential Equations (ODEs). The problem is numerically solved using the parametric continuation method (PCM). The obtained results are compared to the boundary value solver (bvp4c) method for validity reasons. It has been observed that both the results are in best settlement with each other. The temperature, velocity, concentration and microorganism profile trend versus several physical constraints are presented graphically and briefly discussed. The velocity profile shows positive response versus the rising values of buoyancy convection parameters. While the velocity reduces with the increasing effect of magnetic field, because magnetic impact generates Lorentz force, which reduces the fluid velocity.
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Affiliation(s)
- Yun-Jie Xu
- School of Engineering, Huzhou University, Huzhou, 313000, People's Republic of China
| | - Muhammad Bilal
- Department of Mathematics, City University of Science and Information Technology, Peshawar, Pakistan
| | - Qasem Al-Mdallal
- Department of Mathematical Sciences, UAE University, P. O. Box 15551, Al Ain, United Arab Emirates.
| | - Muhammad Altaf Khan
- Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of Free State, Bloemfontein, South Africa
| | - Taseer Muhammad
- Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia
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Statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition. Sci Rep 2021; 11:13869. [PMID: 34230551 PMCID: PMC8260630 DOI: 10.1038/s41598-021-93329-y] [Citation(s) in RCA: 50] [Impact Index Per Article: 16.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2021] [Accepted: 06/22/2021] [Indexed: 11/08/2022] Open
Abstract
This article presents the implementation of a numerical solution of bioconvective nanofluid flow. The boundary layer flow (BLF) towards a vertical exponentially stretching plate with combination of heat and mass transfer rate in tangent hyperbolic nanofluid containing microorganisms. We have introduced zero mass flux condition to achieve physically realistic outcomes. Analysis is conducted with magnetic field phenomenon. By using similarity variables, the partial differential equation which governs the said model was converted into a nonlinear ordinary differential equation, and numerical results are achieved by applying the shooting technique. The paper describes and addresses all numerical outcomes, such as for the Skin friction coefficients (SFC), local density of motile microorganisams (LDMM) and the local number Nusselt (LNN). Furthermore, the effects of the buoyancy force number, bioconvection Lewis parameter, bioconvection Rayleigh number, bioconvection Pecelt parameter, thermophoresis and Brownian motion are discussed. The outcomes of the study ensure that the stretched surface has a unique solution: as Nr (Lb) and Rb (Pe) increase, the drag force (mass transfer rate) increases respectively. Furthermore, for least values of Nb and all the values of Nt under consideration the rate of heat transfer upsurges. The data of SFC, LNN, and LDMM have been tested utilizing various statistical models, and it is noted that data sets for SFC and LDMM fit the Weibull model for different values of Nr and Lb respectively. On the other hand, Frechet distribution fits well for LNN data set for various values of Nt.
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Njingang Ketchate CG, Tiam Kapen P, Fokwa D, Tchuen G. Stability analysis of non-Newtonian blood flow conveying hybrid magnetic nanoparticles as target drug delivery in presence of inclined magnetic field and thermal radiation: Application to therapy of cancer. INFORMATICS IN MEDICINE UNLOCKED 2021. [DOI: 10.1016/j.imu.2021.100800] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
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Ahmad S, Ashraf M, Ali K. Bioconvection due to gyrotactic microbes in a nanofluid flow through a porous medium. Heliyon 2020; 6:e05832. [PMID: 33392406 PMCID: PMC7773592 DOI: 10.1016/j.heliyon.2020.e05832] [Citation(s) in RCA: 25] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/06/2020] [Revised: 05/27/2020] [Accepted: 12/21/2020] [Indexed: 11/26/2022] Open
Abstract
The addition of gyrotactic microbes in the nanoparticles is essential to embellish the thermal efficiency of many systems such as microbial fuel cells, bacteria powered micro-mixers, micro-volumes like microfluidics devices, enzyme biosensor and chip-shaped microdevices like bio-microsystems. Porous media also plays a pivotal role in augmentation of the thermal efficiency. Our approach in the present work is to offer a novel study of bioconvection due to gyrotactic microbes in a nanofluid flow comprising thermal radiation within a porous media over a nonlinear shrinking/stretching surface. The entire coupled system involving nonlinear equations is tackled by means of Successive over Relaxation technique. The impacts of the involved parameters on the flow, motile microbes diffusion rate, mass and heat transfer rates are examined and shown through diagrams and tables. Comparisons with graphical and tabular data are provided and observed to be in a good agreement. Numerical results evidently point out that the motile microbes parameter and the bioconvection Peclet number elevate the motile microorganisms' density whereas the thermal radiation phenomenon enhances the temperature.
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Affiliation(s)
- Sohail Ahmad
- Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, 60800, Pakistan
| | - Muhammad Ashraf
- Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, 60800, Pakistan
| | - Kashif Ali
- Department of Basic Sciences and Humanities, Muhammad Nawaz Sharif University of Engineering and Technology, Multan, 60000, Pakistan
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Awais M, Awan SE, Raja MAZ, Shoaib M. Effects of Gyro-Tactic Organisms in Bio-convective Nano-material with Heat Immersion, Stratification, and Viscous Dissipation. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2020. [DOI: 10.1007/s13369-020-05070-9] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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11
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On the impact of nonlinear thermal radiation on magnetized hybrid condensed nanofluid flow over a permeable texture. APPLIED NANOSCIENCE 2019. [DOI: 10.1007/s13204-019-01224-w] [Citation(s) in RCA: 32] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Tuz Zohra F, Uddin MJ, Basir MF, Ismail AIM. Magnetohydrodynamic bio-nano-convective slip flow with Stefan blowing effects over a rotating disc. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS, PART N: JOURNAL OF NANOMATERIALS, NANOENGINEERING AND NANOSYSTEMS 2019. [DOI: 10.1177/2397791419881580] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Microfluidic-related technologies and micro-electromechanical systems–based microfluidic devices have received applications in science and engineering fields. This article is the study of a mathematical model of steady forced convective flow past a rotating disc immersed in water-based nanofluid with microorganisms. The boundary layer flow of a viscous nanofluid is studied with multiple slip conditions and Stefan blowing effects under the magnetic field influence. The microscopic nanoparticles move randomly and have the characteristics of thermophoresis, and it is being considered that the change in volume fraction of the nanofluid does not affect the thermo-physical properties. The governing equations are nonlinear partial differential equations. At first, the nonlinear partial differential equations are converted to system of nonlinear ordinary differential equations using suitable similarity transformations and then solved numerically. The influence of relevant parameters on velocities, temperature, concentration and motile microorganism density is illustrated and explained thoroughly. This investigation indicated that suction provides a better medium to enhance the transfer rate of heat, mass and microorganisms compared to blowing. This analysis has a wide range engineering application such as electromagnetic micro pumps and nanomechanics.
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Affiliation(s)
- Fatema Tuz Zohra
- School of Mathematical Sciences, Universiti Sains Malaysia, Gelugor, Malaysia
| | - Mohammed Jashim Uddin
- School of Mathematical Sciences, Universiti Sains Malaysia, Gelugor, Malaysia
- Department of Mathematics, American International University-Bangladesh, Dhaka, Bangladesh
| | - Md Faisal Basir
- School of Mathematical Sciences, Universiti Sains Malaysia, Gelugor, Malaysia
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Zaman S, Gul M. Magnetohydrodynamic bioconvective flow of Williamson nanofluid containing gyrotactic microorganisms subjected to thermal radiation and Newtonian conditions. J Theor Biol 2019; 479:22-28. [PMID: 31299330 DOI: 10.1016/j.jtbi.2019.02.015] [Citation(s) in RCA: 28] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2018] [Revised: 02/08/2019] [Accepted: 02/22/2019] [Indexed: 10/26/2022]
Abstract
Magnetohydrodynamic (MHD) bioconvective flow of Williamson nanomaterial in frame of gyrotactic microorganisms is addressed. Nanomaterial characterizes gyrotactic microorganism. Bioconvection is generated by buoyancy forces in the communication of nanoparticles and motile microorganisms. The use of gyrotactic microorganisms into nanofluid here is just to stabilize the nanoparticles to suspend due to a phenomenon called bioconvection. Newtonian conditions for thermal, solutal and motile microorganism are employed. The transformed nonlinear systems of momentum, energy, nanoparticles concentration and motile microorganisms density are solved numerically through the bvp4c technique. Significance of various variables on physical quantities is explained graphically.
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Affiliation(s)
- Salma Zaman
- Department of Animal Sciences, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.
| | - Mahwish Gul
- Department of Animal Sciences, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
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Naz S, Gulzar MM, Waqas M, Hayat T, Alsaedi A. Numerical modeling and analysis of non-Newtonian nanofluid featuring activation energy. APPLIED NANOSCIENCE 2019. [DOI: 10.1007/s13204-019-01145-8] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
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Influence of inclined magnetic field on the flow of condensed nanomaterial over a slippery surface: the hybrid visualization. APPLIED NANOSCIENCE 2019. [DOI: 10.1007/s13204-019-01123-0] [Citation(s) in RCA: 41] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Interaction of thermal radiation in hydromagnetic viscoelastic nanomaterial subject to gyrotactic microorganisms. APPLIED NANOSCIENCE 2019. [DOI: 10.1007/s13204-018-00938-7] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Influence of Chemical Reaction and Nonlinear Thermal Radiation on Bioconvection of Nanofluid Containing Gyrotactic Microorganisms with Magnetic Field. BIONANOSCIENCE 2018. [DOI: 10.1007/s12668-018-0555-y] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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