This study deals with the effect of Lorentz force on forced convection flow of electrically conducting magneto-hydrodynamic, (MHD) power law fluid through the annular sector duct by using finite volume method. In existence literature, hydro-thermal flow of MHD power law fluid within an annular sector duct has not been reported. The effect of Lorentz force on hydro-thermal power law fluid flow makes it very much novel in its own right. Here the main objective is to explore the effect of Lorentz force on hydro-thermal flow characteristics. The influence of uniform magnetic field is taken parallel to the radial direction. The effects of Hartman parameter, and power law index, , corresponding to Lorentz force and power law fluid respectively, on the quantities of interest such as velocity and temperature profiles, friction factor and average Nusselt number are discussed for different geometric configuration parameters’ values of the annular sector duct. Computer code is developed and validated by comparing the results of limiting cases with the available literature. It has been observed that increases with the increase in . This trend is prevalent in both pseudo-plastic and dilatant fluids. The impact of is pronounced in the later case.
BandulasenaHCHZimmermanWBReesJM. An inverse methodology for the rheology of a power-law non-Newtonian fluid. Proc IMechE, Part C: J Mechanical Engineering Science2008; 222(5): 761–768.
2.
GorlaRSRHossainMA. Natural convection flow of a non-Newtonian power-law fluid from a slotted vertical surface with uniform surface heat flux. Proc IMechE, Part C: J Mechanical Engineering Science2009; 223(3): 637–642.
3.
RazaRNazRAbdelsalamSI. Microorganisms swimming through radiative sutterby nanofluid over stretchable cylinder: hydrodynamic effect. Numer Methods Partial Differ Equ2023; 39(2): 975–994.
4.
FaizanMAliFLoganathanK, et al. Entropy analysis of sutterby nanofluid flow over a riga sheet with gyrotactic microorganisms and Cattaneo–Christov double diffusion. Mathematics2022; 10(17): 3157.
5.
AbdelsalamSIZaherAZ. On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid. Math Model Nat Phenom2022; 17: 27.
6.
PantokratorasA. Natural convection over a vertical isothermal plate in a non-Newtonian power-law fluid: new results. Adv Mech Eng2016; 8(5): 1–12.
7.
MustafaIShahbazSGhaffariA, et al. Non-similar solution for a power-law fluid flow over a moving wedge. Alex Eng J2023; 75: 287–296.
8.
SochiT. The flow of power-law fluids in axisymmetric corrugated tubes. J Pet Sci Eng2011; 78(3–4): 582–585.
9.
ZhuQDengSChenY. Periodical pressure-driven electrokinetic flow of power-law fluids through a rectangular microchannel. J Non-Newton Fluid Mech2014; 203: 38–50.
10.
SrinivasB. Electroosmotic flow of a power law fluid in an elliptic microchannel. Colloids Surf A Physicochem Eng Asp2016; 492: 144–151.
11.
ShojaeianMKoşarA. Convective heat transfer of non-Newtonian power-law slip flows and plug flows with variable thermophysical properties in parallel-plate and circular microchannels. Int J Therm Sci2016; 100: 155–168.
12.
AhmedFIqbalM. Heat transfer analysis of MHD power law nano fluid flow through annular sector duct. J Therm Sci2020; 29(1): 169–181.
13.
AhmedFIqbalMAkbarNS. Viscous dissipation and Joule heating effects on forced convection power law fluid flow through annular duct. Proc IMechE, Part C: J Mechanical Engineering Science2021; 235(21): 5858–5865.
14.
AhmedFIqbalM. Viscous dissipation and Joule heating effects on hydro-thermal power law nanofluid through annular duct. Int J Mod Phys B2023. DOI: 10.1142/s0217979224500395
15.
PrasadKVVajraveluK. Heat transfer in the MHD flow of a power law fluid over a non-isothermal stretching sheet. Int J Heat Mass Transf2009; 52(21–22): 4956–4965.
16.
ChenCH. Magneto-hydrodynamic mixed convection of a power-law fluid past a stretching surface in the presence of thermal radiation and internal heat generation/absorption. Int J Non Linear Mech2009; 44(6): 596–603.
17.
NejadMMJavaherdehKMoslemiM. MHD mixed convection flow of power law non-Newtonian fluids over an isothermal vertical wavy plate. J Magn Magn Mater2015; 389: 66–72.
18.
KiyasatfarMPourmahmoudN. Laminar MHD flow and heat transfer of power-law fluids in square microchannels. Int J Therm Sci2016; 99: 26–35.
19.
LinYZhengLLiB, et al. A new diffusion for laminar boundary layer flow of power law fluids past a flat surface with magnetic effect and suction or injection. Int J Heat Mass Transf2015; 90: 1090–1097.
20.
AklMY. MHD flow and heat transfer driving by a power-law shear over a semi-infinite flat plate. Comput Mater Sci2009; 45(2): 271–274.
21.
ArielPD. A numerical experiment in the simulation of MHD flow of a power law fluid through a duct. Comput Methods Appl Mech Eng1993; 106(3): 367–380.
22.
PrasadKVPalDDattiPS. MHD power-law fluid flow and heat transfer over a non-isothermal stretching sheet. Commun Nonlinear Sci Numer Simul2009; 14(5): 2178–2189.
23.
DawoodMYousafMAhmadS, et al. Non-newtonian power-law fluids with variable magnetic field and slip conditions. Proc IMechE, Part E: J Process Mechanical Engineering2023; 237(3): 793–804.
24.
AhmedF. Fully developed forced convection analysis of magneto-hydrodynamic nano fluid through annular sector duct. Proc IMechE, Part C: J Mechanical Engineering Science2021; 235(24): 7963–7974.
AhmedF. Fully developed forced convection H2O-CuO nanofluid flow through concentric pipes annular sector duct by using KKL model. Proc IMechE, Part A: J Power and Energy2023; 237(3): 527–536.
27.
AlamIGhoshdastidarPS. A study of heat transfer effectiveness of circular tubes with internal longitudinal fins having tapered lateral profiles. Int J Heat Mass Transf2002; 45(6): 1371–1376.
28.
LunaNMéndezFTreviñoC. Conjugated heat transfer in circular ducts with a power-law laminar convection fluid flow. Int J Heat Mass Transf2002; 45: 655–666.
29.
IqbalMSyedKS. Thermally developing flow in finned double-pipe heat exchanger. Int J Numer Methods Fluids2011; 65: 1145–1159.
30.
IqbalMSyedKS. Analysis of thermally developing laminar convection in the finned double-pipe heat exchanger. Heat Transf Res2014; 45(1): 1–21.
31.
DastmalchiMArefmaneshASheikhzadehGA. Numerical investigation of heat transfer and pressure drop of heat transfer oil in smooth and micro-finned tubes. Int J Therm Sci2017; 121: 294–304.
32.
SadeghianjahromiAKheradmandSNematiH. Developed correlations for heat transfer and flow friction characteristics of louvered finned tube heat exchangers. Int J Therm Sci2018; 129: 135–144.
33.
LiZYHungTCTaoWQ. Numerical simulation of fully developed turbulent flow and heat transfer in annular-sector ducts. Heat Mass Transf2002; 38: 369–377.
34.
QuZGXuHJTaoWQ. Fully developed forced convective heat transfer in an annulus partially filled with metallic foams: an analytical solution. Int J Heat Mass Transf2012; 55: 7508–7519.
35.
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.
