Heat Transfer Analysis of Unsteady MHD Carreau Fluid Flow over a Stretching/Shrinking Sheet
Source abstract
Abstract
This manuscript contains the modeling and analysis of an unsteady Carreau fluid with a magnetohydrodynamical effect over a stretching sheet. The governing momentum and energy equations admit a self-similarity solution. The system of ordinary differential equations has been solved analytically by the homotopy analysis method (HAM) and numerically by BVP4C (Matlab routine). An analysis of results shows that obtained analytical and numerical solutions are in excellent agreement with existing results in the literature. Furthermore, the effect of various fluid parameters on the velocity and temperature profiles are studied graphically. It is observed that velocity increases in the stretching sheet for power law index n and the Weissenberg number We, whereas it decreases for magnetic parameter M2. Tabular analysis on skin friction and heat transfer rate is also presented against pertinent fluid parameters.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nanofluid Flow and Heat Transfer · Heat Transfer Mechanisms · Heat Transfer and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore 54770, Pakistan
Department of Mathematics, Faculty of Sciences, Sarhad University of Science and Information Technology, Peshawar 25000, Pakistan
Department of Mathematics, Art and Science Faculty, Sirt University, Sirt 56100, Turkey
Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulenvard, Nicosia 99138, Turkey
Department of Mathematics, Firat University, Elazig 23119, Turkey
Department of Medical Research, China Medical University, Taichung 40402, Taiwan
Department of Physics, College of Khurma University College, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
References (46)
Show source-provided references
1. Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow10.1002/aic.690070108 ↗
2. Flow past a stretching plate10.1007/BF01587695 ↗
3. Heat and mass transfer on a stretching sheet with suction or blowing10.1002/cjce.5450550619 ↗
4. HRasheed, U., L-Zubaidi, A.A., Islam, S., Saleem, S., Khan, Z., and Khan, W. (2021). Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Boundary Layer Flow of Jeffrey Nanofluid Over a Vertically Stretching Cylinder. Coatings, 11.10.3390/coatings11030353 ↗
5. Kalpana, G., and Saleem, S. (2022). Heat Transfer of Magnetohydrodynamic Stratified Dusty Fluid Flow through an Inclined Irregular Porous Channel. Nanomaterials, 12.10.3390/nano12193309 ↗
6. Dual solutions and stability analysis of flow and heat transfer of Casson fluid over a stretching sheet10.1016/j.physleta.2019.04.050 ↗
7. Homotopy Analysis Solution for Magnetohydrodynamic Squeezing Flow in Porous Medium
8. Impact of magnetic dipole on thermophoretic particle deposition in the flow of Maxwell fluid over a stretching sheet10.1016/j.molliq.2021.116494 ↗
9. Numerical simulation of AA7072-AA7075/water-based hybrid nanofluid flow over a curved stretching sheet with Newtonian heating: A non-Fourier heat flux model approach10.1016/j.molliq.2021.116103 ↗
10. Stagnation flow towards a shrinking sheet10.1016/j.ijnonlinmec.2007.12.021 ↗
11. Slip Analysis at fluid–solid interface in MHD squeezing flow of Casson fluid through porous medium10.1016/j.rinp.2017.01.033 ↗
12. Thermal radiation and slip effects on magnetohydrodynamic (MHD) stagnation point flow of Casson fluid over a convective stretching sheet10.1016/j.jppr.2019.01.004 ↗
13. Magneto Hydrodynamic Orthogonal Stagnation Point Flow of a Power-Law Fluid Toward a Stretching Surface10.4236/ajcm.2011.12013 ↗
14. Time-dependent squeezing flow of Casson-micropolar nanofluid with injection/suction and slip effects10.1016/j.icheatmasstransfer.2021.105470 ↗
15. Unsteady flow and heat transfer past a stretching/shrinking sheet in a hybrid nanofluid10.1016/j.ijheatmasstransfer.2019.02.101 ↗
16. Numerical modeling of Carreau fluid due to variable thicked surface10.1016/j.rinp.2017.07.008 ↗
17. MHD stagnation point flow of Carreau fluid toward a permeable shrinking sheet: Dual solutions10.1016/j.asej.2014.05.006 ↗
18. Unsteady three-dimensional flow of Casson-Carreau fluids past a stretching surface10.1016/j.aej.2016.03.023 ↗
19. Numerical investigation of a squeezing flow between concentric cylinders under the variable magnetic field of intensity10.1038/s41598-022-13050-2 ↗
20. Peristaltic motion of a Carreau fluid in an asymmetric channel
21. Study of transport phenomenon in Carreau fluid using Cattaneo–Christov heat flux model with temperature dependent diffusion coefficients10.1016/j.physa.2019.123921 ↗
22. Series solution of unsteady peristaltic flow of a Carreau fluid in eccentric cylinders10.1016/j.asej.2013.09.005 ↗
23. Three-Dimensional Hybrid Nanofluid Flow and Heat Transfer past a Permeable Stretching/Shrinking Sheet with Velocity Slip and Convective Condition, Chin
24. Impact of convective heat transfer and buoyancy on micropolar fluid flow through a porous shrinking sheet: An FEM approach10.1177/09544062211045649 ↗
25. Bakar, S.A., Arifin, N.M., Khashi’ie, N.S., and Bachok, N. (2021). Hybrid Nanofluid Flow over a Permeable Shrinking Sheet Embedded in a Porous Medium with Radiation and Slip Impacts. Mathematics, 9.10.3390/math9080878 ↗
26. Flow and heat transfer over an unsteady shrinking sheet with suction in nanofluids10.1016/j.ijheatmasstransfer.2011.11.042 ↗
27. Numerical investigation of the stagnation point flow of radiative magnetomicropolar liquid past a heated porous stretching sheet10.1007/s10973-021-10976-z ↗
28. Heat transfer over an unsteady stretching surface10.1007/s00231-004-0520-x ↗
29. Impact of induced magnetic field on second-grade nanofluid flow past a convectively heated stretching sheet10.1007/s13204-019-01215-x ↗
30. Khan, S.A., Ali, B., Eze, C., Lau, K.T., Ali, L., Chen, J., and Zhao, J. (2021). Magnetic Dipole and Thermal Radiation Impacts on Stagnation Point Flow of Micropolar Based Nanofluids over a Vertically Stretching Sheet: Finite Element Approach. Processes, 9.10.3390/pr9071089 ↗
31. Dusty hybrid nanofluid flow over a shrinking sheet with magnetic field effects10.1108/HFF-01-2021-0081 ↗
32. Non-Darcy unsteady mixed convection flow near the stagnation point on a heated vertical surface embedded in a porous medium with thermal radiation and variable viscosity10.1016/j.cnsns.2008.02.011 ↗
33. Unsteady MHD boundary-layer flow and heat transfer of nanofluid over a permeable shrinking sheet in the presence of thermal radiation10.1016/j.aej.2014.09.001 ↗
34. Stability analysis of MHD hybrid nanofluid flow over a stretching/shrinking sheet with quadratic velocity10.1016/j.aej.2020.10.020 ↗
35. Transportation of heat and mass transport in hydromagnetic stagnation point flow of Carreau nanomaterial: Dual simulations through Runge-Kutta Fehlberg technique10.1016/j.icheatmasstransfer.2020.104858 ↗
36. Stagnation point flow of Maxwell nanofluid over a permeable rotating disk with heat source/sink10.1016/j.molliq.2019.04.130 ↗
37. Unsteady stagnation point flow and heat transfer over a stretching/shrinking sheet10.3923/jas.2011.3520.3524 ↗
38. Entropy generation on EMHD stagnation point flow of hybrid nanofluid over a stretching sheet: Homotopy perturbation solution10.1088/1402-4896/abc03c ↗
39. Stagnation-point flow of a hybrid nanoliquid over a non-isothermal stretching/shrinking sheet with characteristics of inertial and microstructure10.1016/j.csite.2021.101150 ↗
40. Dual solutions for Casson hybrid nanofluid flow due to a stretching/shrinking sheet: A new combination of theoretical and experimental models10.1016/j.cjph.2021.04.004 ↗
41. Entropy generation analysis of Carreau fluid with entire new concepts of modified Darcy’s law and variable characteristics10.1016/j.icheatmasstransfer.2020.105073 ↗
42. Effectiveness of Nonuniform Heat Generation (Sink) and Thermal Characterization of a Carreau Fluid Flowing across a Nonlinear Elongating Cylinder: A Numerical Study10.1021/acsomega.2c02207 ↗
43. Analysis of MHD Carreau fluid flow over a stretching permeable sheet with variable viscosity and thermal conductivity10.1016/j.physa.2020.124225 ↗
44. Entropy analysis of non-linear radiative flow of Carreau liquid over curved stretching sheet10.1016/j.icheatmasstransfer.2020.104975 ↗
45. Unsteady heat and mass transfer mechanisms in MHD Carreau nanofluid flow10.1016/j.molliq.2016.11.107 ↗
46. Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection