Numerical heat transfer enhancement in MHD boundary layer flow with Darcy-Forchheimer Bioconvection Nanofluid
Vol 7, Issue 2, 2024
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Abstract
Scientists have harnessed the diverse capabilities of nanofluids to solve a variety of engineering and scientific problems due to high-temperature predictions. The contribution of nanoparticles is often discussed in thermal devices, chemical reactions, automobile engines, fusion processes, energy results, and many industrial systems based on unique heat transfer results. Examining bioconvection in non-Newtonian nanofluids reveals diverse applications in advanced fields such as biotechnology, biomechanics, microbiology, computational biology, and medicine. This study investigates the enhancement of heat transfer with the impact of magnetic forces on a linearly stretched surface, examining the two-dimensional Darcy-Forchheimer flow of nanofluids based on blood. The research explores the influence of velocity, temperature, concentration, and microorganism profile on fluid flow assumptions. This investigation utilizes blood as the primary fluid for nanofluids, introducing nanoparticles like zinc oxide and titanium dioxide (. The study aims to explore their interactions and potential applications in the field of biomedicine. In order to streamline the complex scheme of partial differential equations (PDEs), boundary layer assumptions are employed. Through appropriate transformations, the governing partial differential equations (PDEs) and their associated boundary conditions are transformed into a dimensionless representation. By employing a local non-similarity technique with a second-degree truncation and utilizing MATLAB’s built-in finite difference code (bvp4c), the modified model’s outcomes are obtained. Once the calculated results and published results are satisfactorily aligned, graphical representations are used to illustrate and analyze how changing variables affect the fluid flow characteristics problems under consideration. In order to visualize the numerical variations of the drag coefficient and the Nusselt number, tables have been specially designed. Velocity profile of -blood and -blood decreases for increasing values of and , while temperature profile increases for increasing values of and . Concentration profile decreases for increasing values of , and microorganism profile increases for increasing values of . For rising values of and the drag coefficient increases and the Nusselt number decreases for rising values of and The model introduces a novel approach by conducting a non-similar analysis of the Darchy-Forchheimer bioconvection flow of a two-dimensional blood-based nanofluid in the presence of a magnetic field.
Scientists have harnessed the diverse capabilities of nanofluids to solve a variety of engineering and scientific problems due to high-temperature predictions. The contribution of nanoparticles is often discussed in thermal devices, chemical reactions, automobile engines, fusion processes, energy results, and many industrial systems based on unique heat transfer results. Examining bioconvection in non-Newtonian nanofluids reveals diverse applications in advanced fields such as biotechnology, biomechanics, microbiology, computational biology, and medicine. This study investigates the enhancement of heat transfer with the impact of magnetic forces on a linearly stretched surface, examining the two-dimensional Darcy-Forchheimer flow of nanofluids based on blood. The research explores the influence of velocity, temperature, concentration, and microorganism profile on fluid flow assumptions. This investigation utilizes blood as the primary fluid for nanofluids, introducing nanoparticles like zinc oxide and titanium dioxide (. The study aims to explore their interactions and potential applications in the field of biomedicine. In order to streamline the complex scheme of partial differential equations (PDEs), boundary layer assumptions are employed. Through appropriate transformations, the governing partial differential equations (PDEs) and their associated boundary conditions are transformed into a dimensionless representation. By employing a local non-similarity technique with a second-degree truncation and utilizing MATLAB’s built-in finite difference code (bvp4c), the modified model’s outcomes are obtained. Once the calculated results and published results are satisfactorily aligned, graphical representations are used to illustrate and analyze how changing variables affect the fluid flow characteristics problems under consideration. In order to visualize the numerical variations of the drag coefficient and the Nusselt number, tables have been specially designed. Velocity profile of -blood and -blood decreases for increasing values of and , while temperature profile increases for increasing values of and . Concentration profile decreases for increasing values of , and microorganism profile increases for increasing values of . For rising values of and the drag coefficient increases and the Nusselt number decreases for rising values of and The model introduces a novel approach by conducting a non-similar analysis of the Darchy-Forchheimer bioconvection flow of a two-dimensional blood-based nanofluid in the presence of a magnetic field.
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1. Buongiorno J, Hu LW. Nanofluid Heat Transfer Enhancement for Nuclear Reactor Applications. Available online: https://dspace.mit.edu/handle/1721.1/65899 (accessed on 17 March 2024).
2. Buongiorno J. Convective Transport in Nanofluids. Journal of Heat Transfer. 2005; 128(3): 240-250. doi: 10.1115/1.2150834
3. Duangthongsuk W, Wongwises S. Effect of thermophysical properties models on the predicting of the convective heat transfer coefficient for low concentration nanofluid. International Communications in Heat and Mass Transfer. 2008; 35(10): 1320-1326. doi: 10.1016/j.icheatmasstransfer.2008.07.015
4. Khan MWS, Ali N. Thermal entry flow of power-law fluid through ducts with homogeneous slippery wall(s) in the presence of viscous dissipation. International Communications in Heat and Mass Transfer. 2021; 120: 105041. doi: 10.1016/j.icheatmasstransfer.2020.105041
5. Ali N, Khan MWS, Saleem S. Critical analysis of generalized Newtonian fluid flow past a non‐linearly stretched curved surface: A numerical solution for Carreau model. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 2023; 104(2). doi: 10.1002/zamm.202300100
6. Mehmood Y, Shafqat R, Sarris IE, et al. Numerical Investigation of MWCNT and SWCNT Fluid Flow along with the Activation Energy Effects over Quartic Auto Catalytic Endothermic and Exothermic Chemical Reactions. Mathematics. 2022; 10(24): 4636. doi: 10.3390/math10244636
7. Kandasamy R, Loganathan P, Arasu PP. Scaling group transformation for MHD boundary-layer flow of a nanofluid past a vertical stretching surface in the presence of suction/injection. Nuclear Engineering and Design. 2012; 241(6): 2053-2059. doi: 10.10115/2012/934964
8. Crane LJ. Flow past a stretching plate. Zeitschrift für angewandte Mathematik und Physik ZAMP. 1970; 21(4): 645-647. doi: 10.1007/bf01587695
9. Yazdi MH, Abdullah S, Hashim I, et al. Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction. International Journal of Heat and Mass Transfer. 2011; 54(15-16): 3214-3225. doi: 10.1016/j.ijheatmasstransfer.2011.04.009
10. Farooq U, Hussain M, Farooq U. Non‐similar analysis of chemically reactive bioconvective Casson nanofluid flow over an inclined stretching surface. ZAMM - Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik. 2023; 104(2). doi: 10.1002/zamm.202300128
11. Abuasbeh K, Shafqat R, Niazi AUK, et al. Mild Solutions for the Time-Fractional Navier-Stokes Equations with MHD Effects. Symmetry. 2023; 15(2): 280. doi: 10.3390/sym15020280
12. Magyari E, Keller B. Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface. Journal of Physics D: Applied Physics. 1999; 32(5): 577-585. doi: 10.1088/0022-3727/32/5/012
13. Darcy H. Les Fontaines publiques de la ville de Dijon; Exposition et application des principes à suivre et des formules à employer dans les questions de distribution d’eau ... (French). Legare Street Press; 2022.
14. Forchheimer PH. Water movement through soil (German). Available online: https://cir.nii.ac.jp/crid/1572261549273889536 (accessed on 16 March 2024).
15. Wang J, Mustafa Z, Siddique I, et al. Computational Analysis for Bioconvection of Microorganisms in Prandtl Nanofluid Darcy–Forchheimer Flow across an Inclined Sheet. Nanomaterials. 2022; 12(11): 1791. doi: 10.3390/nano12111791
16. Hady FM, Mohamed RA, Mahdy A, et al. Non-Darcy Natural Convection Boundary Layer Flow Over a Vertical Cone in Porous Media Saturated with a Nanofluid Containing Gyrotactic Microorganisms with a Convective Boundary Condition. Journal of Nanofluids. 2016; 5(5): 765-773. doi: 10.1166/jon.2016.1256.
17. Akbar, Y., Alotaibi, H., Iqbal, J., Nisar, K. S., & Alharbi, K. A. M. (2022). Thermodynamic analysis for bioconvection peristaltic transport of nanofluid with gyrotactic motile microorganisms and Arrhenius activation energy. Case Studies in Thermal Engineering, 34, 102055.
18. Iqbal J, Abbasi FM, Nawaz R. Numerical investigation of magnetohydrodynamic bioconvection peristalsis of Powell–Eyring nanofluid. Numerical Heat Transfer, Part A: Applications. Published online March 2024: 1-22. doi: 10.1080/10407782.2024.2322102.
19. Farooq U, Liu T, Farooq U, et al. Non-similar analysis of bioconvection MHD micropolar nanofluid on a stretching sheet with the influences of Soret and Dufour effects. Applied Water Science. 2024; 14(6). doi: 10.1007/s13201-024-02143-0
20. Abbas A, Shafqat R, Jeelani MB, et al. Convective Heat and Mass Transfer in Third-Grade Fluid with Darcy–Forchheimer Relation in the Presence of Thermal-Diffusion and Diffusion-Thermo Effects over an Exponentially Inclined Stretching Sheet Surrounded by a Porous Medium: A CFD Study. Processes. 2022; 10(4): 776. doi: 10.3390/pr10040776
21. Farooq U, Liu T, Farooq U, et al. Heat transfer analysis of ternary hybrid Williamson nanofluids with gyrotactic microorganisms across stretching surfaces: Local non-similarity method. Numerical Heat Transfer, Part A: Applications. Published online April 15, 2024: 1-22. doi: 10.1080/10407782.2024.2341431
22. Saeed Khan MW, Ali N, Bég OA. Thermal entrance problem for blood flow inside an axisymmetric tube: The classical Graetz problem extended for Quemada’s bio-rheological fluid with axial conduction. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine. 2022; 236(6): 848-859. doi: 10.1177/09544119221086479
23. Abbas A, Shafqat R, Jeelani MB, et al. Significance of Chemical Reaction and Lorentz Force on Third-Grade Fluid Flow and Heat Transfer with Darcy–Forchheimer Law over an Inclined Exponentially Stretching Sheet Embedded in a Porous Medium. Symmetry. 2022; 14(4): 779. doi: 10.3390/sym14040779
24. Khan MWS, Ali N. Theoretical analysis of thermal entrance problem for blood flow: An extension of classical Graetz problem for Casson fluid model using generalized orthogonality relations. International Communications in Heat and Mass Transfer. 2019; 109: 104314. doi: 10.1016/j.icheatmasstransfer.2019.104314
25. Farooq U, Farooq U. Non-similar analysis of bio-convective micropolar nanofluid flow including gyrotactic microorganisms across a stretched geometry. Numerical Heat Transfer, Part B: Fundamentals. 2024: 1-18. doi: 10.1080/10407790.2024.2333022
26. Khan MWS, Ali N. Thermal entry flow problem for Giesekus fluid inside an axis-symmetric tube through isothermal wall condition: a comparative numerical study between exact and approximate solution. Zeitschrift für Naturforschung A. 2021; 76(11): 973-984. doi: 10.1515/zna-2021-0098
27. Kuznetsov AV. Nanofluid bioconvection in water-based suspensions containing nanoparticles and oxytactic microorganisms: oscillatory instability. Nanoscale Research Letters. 2011; 6(1). doi: 10.1186/1556-276x-6-100
28. Farooq U, Liu T. Non-similar analysis of MHD bioconvective nanofluid flow on a stretching surface with temperature-dependent viscosity. Numerical Heat Transfer, Part A: Applications. 2023; 1-17. doi: 10.1080/10407782.2023.2279249
29. Tiwari RK, Das MK. Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. International Journal of Heat and Mass Transfer. 2007; 50(9-10): 2002-2018. doi: 10.1016/j.ijheatmasstransfer.2006.09.034
30. Sparrow EM, Yu HS. Local Non-Similarity Thermal Boundary-Layer Solutions. Journal of Heat Transfer. 1971; 93(4): 328-334. doi: 10.1115/1.3449827
31. Rehman MIU, Chen H, Hamid A, et al. Theoretical investigation of Darcy-Forchheimer flow of bioconvection Casson fluid in the presence of chemical reaction effect. Biomass Conversion and Biorefinery. Published online July 27, 2022. doi: 10.1007/s13399-022-03060-5
32. Puneeth V, Anandika R, Manjunatha S, et al. Implementation of modified Buongiorno’s model for the investigation of chemically reacting rGO-Fe3O4-TiO2-H2O ternary nanofluid jet flow in the presence of bio-active mixers. Chemical Physics Letters. 2022; 786: 139194. doi: 10.1016/j.cplett.2021.139194
33. Salahuddin T, Khan M, Saeed T, et al. Induced MHD impact on exponentially varying viscosity of Williamson fluid flow with variable conductivity and diffusivity. Case Studies in Thermal Engineering. 2021; 25: 100895. doi: 10.1016/j.csite.2021.100895
34. Devi SU, Devi SA. Heat transfer enhancement of Cu-$Al_2O_3$/water hybrid nanofluid flow over a stretching sheet. Journal of the Nigerian Mathematical Society. 2017; 36(2): 419-433.
35. Abd El-Aziz M. Viscous dissipation effect on mixed convection flow of a micropolar fluid over an exponentially stretching sheet. Canadian Journal of Physics. 2009; 87(4): 359-368. doi: 10.1139/p09-047
36. Loganathan P, Vimala C. MHD Boundary Layer Flow of a Nanofluid Over an Exponentially Stretching Sheet in the Presence of Radiation. Heat Transfer—Asian Research. 2013; 43(4): 321-331. doi: 10.1002/htj.21077
37. Sharma S. MHD Boundary Layer Flow Past an Exponentially Stretching Sheet with Darcy-Forchheimer Flow of Nanofluids. Indian Journal Of Science And Technology. 2022; 15(33): 1594-1604. doi: 10.17485/ijst/v15i33.607
DOI: https://doi.org/10.24294/tse.v7i2.6914
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