Here we numerically analyse the effects of viscous dissipation and Joule heating on forced convection heat transfer rate of electrically conducting magnetohydrodynamic, (MHD) power law fluid flow through annular duct. Mathematical model is formulated for constant properties power law fluid with steady, incompressible and laminar fully developed flow assumptions. Heat transfer results are determined by taking constant heat flux with peripheral wall temperature “known as H1 thermal boundary condition” at the solid walls of the channel. It has been observed that the effect of viscous dissipation reduces due to enhance damping magnetic field effect by increasing the value of Hartman number, Ha, especially in the case of shear thickening fluids.
AhmedMES.Numerical solution of power law fluids flow and heat transfer with a magnetic field in a rectangular duct. Int J Heat Mass Transf2006; 33: 1165–1176.
2.
CapobianchiM.Pressure drop predictions for laminar flows of extended modified power law fluids in rectangular ducts. Int J Heat Mass Transf2008; 51: 1393–1401.
3.
DaschielGFrohnapfelBJovanovicJ.Numerical investigation of flow through a triangular duct: the coexistence of laminar and turbulent flow. Int J Heat Fluid Flow2013; 41: 27–33.
4.
IqbalMAhmedF.Analysis of MHD fluid flow and heat transfer through annular sector ducts filled with Darcy-Brinkman porous media. Heat Trans Res2018; 49: 1773–1792.
5.
IqbalMAhmedFRashidiMM.Simulation of MHD forced convection heat transfer through an annular sector duct. J Thermophys Heat Transf2018; 32: 469–474.
6.
AhmedFAkbarNS.Heat transfer analysis of CNT suspended nanofluid through annulus sector duct. Int J Mech Sci2017; 122: 362–369.
7.
AhmedFAkbarNS.Numerical simulation of the forced convective nano fluid flow through an annulus sector duct. Chin J Phys2017; 55: 1400–1411.
8.
SethGSBhattacharyyaAMishraMK.Study of partial slip mechanism on free convection flow of viscoelastic fluid past a non-linearly stretching surface.Comput Therm Sci2019; 11: 105–117.
9.
AhmedF.Fully developed forced convective Jeffrey fluid flow through concentric pipes annular duct. Eur Phys J Plus2021; 136: 12–31.
10.
BhattacharyyaASethGSKumarR.Modelling of viscoelastic fluid flow past a non-linearly stretching surface with convective heat transfer: OHAM analysis. Math Model Scientif Comput Appl2020; 308: 297–312.
11.
SethGSKumarRTripathiR, et al. Double diffusive MHD Casson fluid flow in a non-Darcy porous medium with Newtonian heating and thermo-diffusion effects. IJHT2018; 36: 1517–1527.
12.
AhmedFIqbalMAkbarNS.Numerical study of forced convective power law fluid flow through an annulus sector duct. Eur Phys J Plus2016; 131: 341–359.
13.
AhmedFIqbalMPopI.Numerical simulation of forced convective power law nanofluid through circular annulus sector. J Therm Anal Calorim2019; 135: 861–871.
14.
AhmedF.Heat transfer rate of power law fluid flow with variable thermal conductivity through a porous annular sector duct. Eur Phys J Plus2019; 134: 432–447.
15.
AhmedFIqbalM.Heat transfer analysis of MHD power law nano fluid flow through annular sector duct. J Therm Sci2020; 29: 169–181.
16.
AhmedFIqbalM.MHD power law fluid flow and heat transfer analysis through Darcy Brinkman porous media in annular sector. Int J Mech Sci2017; 130: 508–517.
17.
SrinivasacheraryaDReddyGS.Chemical reaction and radiation effects on mixed convection heat and mass transfer over a vertical plate in power-law fluid saturated porous medium. J Egypt Math Soc2016; 24: 108–115.
18.
KumariMNathG.Non-Darcy mixed convection in power-law fluids along a non-isothermal horizontal surface in a porous medium. Int J Eng Sci2004; 42: 353–369.
19.
PranithaJSumanGVSrinivasacharyaD.Effects of double dispersion on mixed convection in a power-law fluid saturated porous medium with variable properties using lie scaling group transformation. Proc Eng2015; 127: 362–369.
20.
OuJWChengKC.Viscous dissipation effects on thermal entrance region heat transfer in pipes with uniform wall heat flux. Appl Sci Res1973; 28: 289–301.
21.
KishorePMRajeshVVermaSV.The effects of thermal radiation and viscous dissipation on MHD heat and mass diffusion flow past an oscillating vertical plate embedded in a porous medium with variable surface conditions. Theor Appl Mech (Belgr)2012; 39: 99–125.
22.
ParveenNAlimMA.Joule heating effect on magnetohydrodynamic natural convection flow along a vertical wavy surface with viscosity dependent on temperature. J Nav Arch Mar Eng2012; 9: 11–24.
23.
JamalabadiMYA.Joule heating in low-voltage electroosmotic with electrolyte containing nano-bubble mixtures through microchannel rectangular orifice. Chem Eng Res Des2015; 102: 407–415.
24.
ChenGMTsoCP.Effects of viscous dissipation on forced convective heat transfer in a channel embedded in a power-law fluid saturated porous medium. Int Commun Heat Mass Transf2011; 38: 57–62.
25.
HayatTNisarZAhmadB, et al. Simultaneous effects of slip and wall properties on MHD peristaltic motion of nanofluid with joule heating. J Magn Magn Mater2015; 395: 48–58.
26.
HayatTShafiqueMTanveerA, et al. Hall and ion slip effects on peristaltic flow of Jeffrey nanofluid with joule heating. J Magn Magn Mater2016; 407: 51–59.
27.
El-AminMF.Combined effect of viscous dissipation and joule heating on MHD forced convection over a non-isothermal horizontal cylinder in a fluid saturated porous medium. J Magn Magn Mater2003; 263: 337–343.
28.
IqbalMSyedKS.Thermally developing flow in finned double-pipe heat exchanger. Int J Numer Meth Fluids2011; 65: 1145–1159.
29.
IqbalMAfaqH.Fluid flow and heat transfer through an annular sector duct filled with porous media. J Por Media2015; 18: 679–687.
30.
PericMFerzigerJH.Computational methods for fluid dynamics. Berlin: Springer, 2002.
31.
SyedKSIqbalMMirNA.Convective heat transfer in the thermal entrance region of finned double-pipe. Heat Mass Transfer2007; 43: 449–457.
32.
IqbalMSyedKS.Analysis of thermally developing laminar convection in the finned double-pipe heat exchanger. Heat Trans Res2014; 45: 1–21.
