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Joule Heating and Viscous Dissipation on Electromagnetohydrodynamic Flow with Electroosmotic Effect in a Porous Microchannel
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This work investigates the effect of Joule heating and viscous
dissipation due to electric double layer (EDL) and electroosmotic effect
on steady fully developed electromagnetohydrodynamic flow in a porous
microchannel. Dimensionless formulations of the Poisson-Boltzmann,
momentum, and energy equations are derived for the electric potential,
velocity profile and temperature distribution in the microchannel. Exact
solutions for the temperature distributions and velocity profile were
obtained using the method of undeterminate coefficients. The
Debye-Hückel linearization is used to get exact solution for the
electric potential. The results showed that Brinkmann number ( Br ) ,
Joule heating parameter ( J ) , Debye-Hückel parameter ( Κ ) , Hartmann
number ( M ) , electric field ( E z ) and suction/injection parameter (
S ) have a substantial impact on flow formation and heat transfer. Using
MATLAB software, graphical simulations are provided in order to deliver
a greater understanding of the influence of relevant parameters on the
results achieved.
Title: Joule Heating and Viscous Dissipation on Electromagnetohydrodynamic Flow with Electroosmotic Effect in a Porous Microchannel
Description:
This work investigates the effect of Joule heating and viscous
dissipation due to electric double layer (EDL) and electroosmotic effect
on steady fully developed electromagnetohydrodynamic flow in a porous
microchannel.
Dimensionless formulations of the Poisson-Boltzmann,
momentum, and energy equations are derived for the electric potential,
velocity profile and temperature distribution in the microchannel.
Exact
solutions for the temperature distributions and velocity profile were
obtained using the method of undeterminate coefficients.
The
Debye-Hückel linearization is used to get exact solution for the
electric potential.
The results showed that Brinkmann number ( Br ) ,
Joule heating parameter ( J ) , Debye-Hückel parameter ( Κ ) , Hartmann
number ( M ) , electric field ( E z ) and suction/injection parameter (
S ) have a substantial impact on flow formation and heat transfer.
Using
MATLAB software, graphical simulations are provided in order to deliver
a greater understanding of the influence of relevant parameters on the
results achieved.
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