An exact solution is presented for the steady hydromagnetic fully developed natural convection flow in a vertical microporous channel due to asymmetric heating. The governing momentum and energy equations are presented in dimensionless form and solved analytically using the method of undetermined coefficient. The effects of Hall current and suction/injection parameters on the primary and secondary velocity, volume flow rates, and skin frictions are discussed with the help of line graphs and tables. It is observed that injection accelerates the flow, whereas suction retards the flow in both the primary and secondary flow directions.
SchaafSAChambrePL. Flow of rarefied gases. Princeton, NJ: Princeton University Press, 1961.
2.
ChenCKWengHC. Natural convection in a vertical micro-channel. J Heat Transf2005; 127: 1053–1056.
3.
AydinOAvciM. Heat and fluid flow characteristics of gases in micropipes. Int J Heat Transf2006; 10: 345–358.
4.
JhaBKAinaB. MHD mixed convection flow in a vertical micro-annulus: an exact solution. Int J Fluid Mech Res2015; 42(6): 537–552.
5.
JhaBKAinaBJosephSB. Natural convection flow in a vertical microchannel with suction/injection. Proc IMechE Part E: J Process Mechanical Engineering2014; 228(3): 171–180.
6.
SinghAK. Hall effects on MHD free-convection flow past an accelerated vertical porous plate. Astrophys Space Sci1984; 102: 213–221.
7.
AttiaHAAboul-HassanAL. The effect of variable properties on the unsteady Hartmann flow with heat transfer considering the Hall effect. Appl Math Model2003; 27: 551–563.
8.
MakindeODIskanderTMaboodF, et al. MHD Couette-Poiseuille flow of variable viscosity nanofluids in a rotating permeable channel with Hall effects. J Mol Liq2016; 221: 778–787.
9.
SethGSSinghJK. Mixed convection hydromagnetic flow in a rotating channel with Hall and wall conductance effects. Appl Math Model2016; 40: 2783–2803.
10.
GhoshSK. MHD rotating flow and heat transfer through a channel with Hall effects. J Magn Magn Mater2016; 404: 221–229.
11.
RaoDRVPKrishnaDV. Hall effects on free and forced convective flow in a rotating channel. Acta Mech1982; 43: 49–59.
12.
AttiaHA. Effect of Hall current on transient hydromagnetic Couette-Poiseuille flow of a viscoelastic fluid with heat transfer. Appl Math Model2008; 32: 375–388.
13.
JhaBKApereCA. Combined effect of Hall and ion-slip currents on unsteady MHD Couette flows in a rotating system. J Phys Soc Jpn2010; 79: 104401.
14.
JhaBKApereCA. Hall and ion-slip effects on unsteady MHD Couette flow in a rotating system with suction and injection. J Phys Soc Jpn2011; 80: 114401.
15.
UdhayakumarSRejeeshADASekharTVS, et al. Numerical investigation of magnetohydrodynamic mixed convection over an isothermal circular cylinder in presence of an aligned magnetic field. Int J Heat Mass Tran2016; 95: 379–392.
16.
MazumderBSGuptaASDattaN. Hall effects on combined free and forced convective hydromagnetic flow through a channel. Int J Eng Sc1976; 14: 285–292.
17.
WengHCChenDC. Magnetogasdynamic natural convection in a long vertical microchannel. Appl Math Model2017; 47: 777–784.
18.
JhaBKAinaBAjiyaAT. Role of suction/injection on MHD natural convection flow in a vertical micro-channel. Int J Energ Tech2015; 7(12): 30–39.
19.
JhaBKMalgwiPBAinaB. Hall effects on MHD natural convection flow in a vertical micro-channel. Alexandria Eng J Elsevier2018; 57: 983–993.
20.
NanigopalDJanaRN. Hall effects on hydromagnetic convective flow through a channel with conducting walls. Int J Eng Sc1977; 15: 561–567.
21.
CowlingTG. Magnetohydrodynamics. New York: Interscience, 1957.
22.
EckertERGDrakeJr. Chapter 4: free convection. Analysis of heat and mass transfer. New York: Mcgraw-Hill, 1972.
