Thermal characteristics of electromagnetohydrodynamic flows in narrow channels with viscous dissipation and Joule heating under constant wall heat flux

Transient MHD heat transfer and entropy generation in a microparallel channel combined with pressure and electroosmotic effects

“…7 that at low values of Ha (such as Ha = 0.5 and 0.7), present results show the trends same as those in Ref. [55]. However, at high values of Ha (such as Ha = 1.0, 2.0, 3.0 and 5.0), there has obvious difference between them.…”

“…Based upon Ref. [55], the typical values of these non-dimensional parameters in the present work are as followings. In present analysis, the order of half-height of the channel is h $ 10-500 lm, electrical conductivity is r e $ 2.2 Â 10 À4 -4 Â 10 3 S/m, viscosity is l $ 10 À3 -1.5 Â 10 À3 kg/(ms), the imposed magnetic field is O(B x ) $ 0.01-5T [41].…”

“…In order to explain the discrepancy of present energy equation by adding the electromagnetic interaction term r e [À2E z B x v s (x) + B x 2 v s 2 (x)] to that used in Ref. [55], the variations of temperature with magnetic parameter Ha is depicted in Fig. 7.…”

“…Mahian et al [54] reported an analytical solution of entropy generation between two vertical cylinders in the presence of MHD flow. Very recently, Chakraborty et al [55] investigated the thermal characteristics of MHD in narrow channels with viscous dissipation and Joule heating. Unfortunately, in the energy equation they used, the coupling interaction terms of electrical and magnetic fields, stemming from the inherent electromagnetic effects, were ignored.…”

Electromagnetohydrodynamic (EMHD) micropumps under a spatially non-uniform magnetic field

“…Chakraborty and Paul 18,19 theoretically investigated the possibilities of exploiting a combination of two electrical fields in horizontal directions, which can interact with an externally imposed transverse magnetic field. The thermal characteristics of EMHD in narrow channels with viscous dissipation and Joule heating were analyzed by Chakraborty et al 20 Sarkar and Ganguly 21 analyzed the effect of nanofluid on thermally fully developed MHD flows through microchannel. Escandón et al 22 studied the same problem in a microchannel for Phane-Thiene-Tanner fluids.…”