Restricted accessResearch articleFirst published online 2024-4
Exploration of the dynamics of non-Newtonian Casson fluid subject to viscous dissipation and Joule heating between parallel walls due to buoyancy forces and pressure
Vertical channels between two flat plates have a wide range of engineering applications, such as heat exchangers, chemical processing equipment, electronic component heat dissipation, and so on. Therefore, this analysis examines the significance of variable properties on the dynamics of Casson fluid in a vertical channel due to mixed convection when thermal radiation and Joule heating are significant. The combined effects of temperature-dependent plastic dynamics viscosity and temperature-dependent thermal conductivity are analyzed. Moreover, the evaluation of heat transfer is further supported by viscous dissipation. The nondimensional governing equations are elucidated analytically by employing the perturbation technique and numerically by Runge–Kutta method with the shooting technique. The effects of numerous dimensionless parameters on fluid flow are featured through graphs. In addition, the heat transfer rate and the skin friction coefficient are computed and scrutinized. It is reported that velocity depicts enhancing behavior for higher values of the Casson fluid and slip parameters. It has also been observed that the fluid temperature decreases with an increase in the thermal conductivity parameter.
JhaBKAinaBAjiyaAT, et al.MHD Natural convection flow in a vertical parallel plate microchannel. Ain Shams Eng J2015; 6: 289–295.
2.
AdesanyaSO. Free convective flow of heat generating fluid through a porous vertical channel with velocity slip and temperature jump. Ain Shams Eng J2015; 6: 1045–1052.
3.
HamzaMM. Free convection slip flow of an exothermic fluid in a convectively heated vertical channel. Ain Shams Eng J2018; 9: 1313–1323.
4.
AbbasZHussainSRafiqMY, et al.Oscillatory slip flow of Fe3O4 and Al2O3 nanoparticles in a vertical porous channel using Darcy’s law with thermal radiation. Heat Transfer2020; 49: 3228–3245.
5.
JhaBKMalgwiPB. Interplay of conducting and non-conducting walls on hydromagnetic natural convection flow in a vertical micro-channel with Hall current. Propuls Power Res2021; 10: 155–168.
6.
BhuyanDGiriA. Heat transfer and second law analysis of turbulent flow mixed convection condensation inside a vertical channel. Int J Heat Mass Transf2021; 165: 120658.
7.
KhanUZaibAIshakA, et al.Radiative mixed convective flow induced by hybrid nanofluid over a porous vertical cylinder in a porous media with irregular heat sink/source. Case Stud Therm Eng2022; 30: 101711.
8.
WahidNSArifinNMKhashi’ieNS, et al.MHD mixed convection flow of a hybrid nanofluid past a permeable vertical flat plate with thermal radiation effect. Alex Eng J2022; 61: 3323–3333.
9.
HemalathaRKameswaranPKMurthyPVSN, et al.Effect of nanoparticle shape on the mixed convective transport over a vertical cylinder in a non-Darcy porous medium. Int Commun Heat Mass Transf2022; 133: 105962.
10.
CaoWAnimasaunILYookSJ, et al.Simulation of the dynamics of colloidal mixture of water with various nanoparticles at different levels of partial slip: ternary-hybrid nanofluid. Int Commun Heat Mass Transf2022; 135: 106069.
11.
Abdel-WahedMS. Lorentz Force effect on mixed convection micropolar flow in a vertical conduit. Eur Phys J Plus2017; 132: 1–11.
12.
LeeJSHaMYMinJK, et al.Numerical study on the mixed convection around inclined-pin fins on a heated plate in vertical channels with various bypass ratios. Case Stud Therm Eng2021; 27: 101310.
13.
AliMMAkhterRMiahMM, et al.Hydromagnetic mixed convective flow in a horizontal channel equipped with Cu-water nanofluid and alternated baffles. Int J Thermofluid2021; 12: 100118.
14.
AnimasaunILShahNAWakifA, et al. Ratio of momentum diffusivity to thermal diffusivity: introduction, meta-analysis, and scrutinization. New York: Chapman & Hall, CRC Press, 2022.
15.
AbbasZRafiqMY. Analysis of heat and mass transfer phenomena in peristaltic transportation of hyperbolic tangent fluid in tapered channel. Asia-Pac J Chem Eng2021; 16: e2675.
16.
RafiqMYAbbasZ. Impacts of viscous dissipation and thermal radiation on Rabinowitsch fluid model obeying peristaltic mechanism with wall properties. Arab J Sci Eng2021; 46: 12155–12163.
17.
CassonN. A flow equation for pigment-oil suspensions of the printing ink type. In: Rheology of disperse systems. London, UK: Pergamon Press, 1959.
18.
AnimasaunILAdebileEAFagbadeAI, et al.Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method. J Niger Math Soc2016; 35: 1–17.
19.
MakindeODSandeepNAjayiTM, et al.Numerical exploration of heat transfer and Lorentz force effects on the flow of MHD Casson fluid over an upper horizontal surface of a thermally stratified melting surface of a paraboloid of revolution. Int J Nonlinear Sci Numer Simul2018; 19: 93–106.
20.
PrasadDKChaitanyaGKRajuRS, et al.Double diffusive effects on mixed convection Casson fluid flow past a wavy inclined plate in presence of Darcian porous medium. Results Eng2019; 3: 100019.
21.
TufailMNSaleemMChaudhryQA, et al.Chemically reacting mixed convective Casson fluid flow in the presence of MHD and porous medium through group theoretical analysis. Heat Transfer2020; 49: 4657–4677.
22.
MittalASPatelHR. Influence of thermophoresis and Brownian motion on mixed convection two dimensional MHD Casson fluid flow with non-linear radiation and heat generation. Phys A Stat Mech Appl2020; 537: 122710.
23.
KhanSSelimMMGepreelKA, et al.An analytical investigation of the mixed convective Casson fluid flow past a yawed cylinder with heat transfer analysis. Open Phys2021; 19: 341–351.
24.
MandalBLayekGC. Unsteady MHD mixed convective Casson fluid flow over a flat surface in the presence of slip. Int J Mod Phys C2021; 32: 2150038.
25.
AbbasZRafiqMYHasnainJ, et al.Peristaltic transport of a Casson fluid in a non-uniform inclined tube with Rosseland approximation and wall properties. Arab J Sci Eng2021; 46: 1997–2007.
26.
AliGAliFKhanA,et al.A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel plates. Case Stud Therm Eng2022; 29: 101657.
27.
AshrafMBHayatTAlsaediA, et al.Mixed convection flow of Casson fluid over a stretching sheet with convective boundary conditions and Hall effects. Bound Value Probl2017; 2017: 1–17.
28.
GiviGM. Influence of radiative heat flux in nonlinear convection of quartic order in Casson fluid past a vertical permeable plate with variable suction and Hall current. Chin J Phys2021; 74: 209–225.
29.
MahdyAChamkhaAJNabweyHA, et al.Entropy analysis and unsteady MHD mixed convection stagnation-point flow of Casson nanofluid around a rotating sphere. Alex Eng J2020; 59: 1693–1703.
30.
AbbasZHussainSHasnainJ, et al. Non-Newtonian fluid flow having fluid–particle interaction through a porous zone in a channel with permeable walls. Int J Nonlinear Sci Numer Simul2021. DOI: 10.1515/ijnsns-2020-0213.
31.
AkinshiloAT. Mixed convective heat transfer analysis of MHD fluid flowing through an electrically conducting and non-conducting walls of a vertical micro-channel considering radiation effect. Appl Therm Eng2019; 156: 506–513.
32.
VaidyaHChoudhariRGudekoteM, et al.Effect of variable liquid properties on peristaltic transport of Rabinowitsch liquid in convectively heated complaint porous channel. J Cent South Univ2019; 26: 1116–1132.
33.
UmavathiJCMohiuddinSSheremetMA. MHD flow in a vertical channel under the effect of temperature dependent physical parameters. Chin J Phys2019; 58: 324–338.
34.
AjibadeAOUmarAM. Mixed convection flow in a vertical channel in the presence of wall conduction, variable thermal conductivity and viscosity. Nonlinear Eng2020; 9: 412–431.
35.
ManjunathaGRajashekharCVaidyaH, et al.Impact of variable transport properties and slip effects on MHD Jeffrey fluid flow through channel. Arab J Sci Eng2020; 45: 417–428.
36.
AjibadeAOTafidaMK. The combined effect of variable viscosity and variable thermal conductivity on natural convection couette flow. Int J Thermofluid2020; 5-6: 100036.
37.
AbbasTRehmanSShahRA, et al.Analysis of MHD Carreau fluid flow over a stretching permeable sheet with variable viscosity and thermal conductivity. Phys A Stat Mech Appl2020; 551: 124225.
38.
RafiqSAbbasZSheikhM, et al.Effects of variable viscosity on asymmetric flow of non-Newtonian fluid driven through an expanding/contracting channel containing porous walls. Arab J Sci Eng2020; 45: 9471–9480.
39.
AbbasZNaveedMHussainM, et al.Analysis of entropy generation for MHD flow of viscous fluid embedded in a vertical porous channel with thermal radiation. Alex Eng J2020; 59: 3395–3405.
40.
AjibadeOAJhaBKJibrilHM, et al.Effects of dynamic viscosity and nonlinear thermal radiation on free convective flow through a vertical porous channel. Int J Thermofluid2021; 9: 100062.
41.
RafiqMYAbbasZHasnainJ, et al.Theoretical exploration of thermal transportation with Lorentz force for fourth-grade fluid model obeying peristaltic mechanism. Arab J Sci Eng2021; 46: 12391–12404.
42.
ElsaidEMAbdel-wahedMS. Mixed convection hybrid-nanofluid in a vertical channel under the effect of thermal radiative flux. Case Stud Therm Eng2021; 25: 100913.
43.
AbbasZRafiqMYHasnainJ, et al.Thermally developed generalized Bödewadt flow containing nanoparticles over a rotating surface with slip condition. Int Commun Heat Mass Transf2021; 122: 105143.
44.
JamaludinANazarRPopI, et al.Mixed convection stagnation-point flow of cross fluid over a shrinking sheet with suction and thermal radiation. Phys A Stat Mech Appl2022; 585: 126398.
45.
HasnainJSattiHGSheikhM, et al. Study of double slip boundary condition on the oscillatory flow of dusty ferrofluid confined in a permeable channel. FU Mech Eng2022. DOI: 10.22190/FUME211228019H.
Supplementary Material
Please find the following supplemental material available below.
For Open Access articles published under a Creative Commons License, all supplemental material carries the same license as the article it is associated with.
For non-Open Access articles published, all supplemental material carries a non-exclusive license, and permission requests for re-use of supplemental material or any part of supplemental material shall be sent directly to the copyright owner as specified in the copyright notice associated with the article.
