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An exact solution for the entropy base flow of electroosmotic magneto-nanofluid through microparallel channel

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International Journal of Modern Physics B
Authors:
Muhammad Bilal at University of Chenab, Gujrat
Muhammad Bilal
  • University of Chenab, Gujrat
Showkat Ahmad Lone
Showkat Ahmad Lone
Showkat Ahmad Lone
  • This person is not on ResearchGate, or hasn't claimed this research yet.
Sadia Anwar at Prince Sattam Bin Abdulaziz University
Sadia Anwar
Sana Shahab at Princess Nourah bint Abdulrahman University
Sana Shahab
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Abstract and Figures

An exact solution of steady state, electroosmotic, transient magnetohydrodynamic (MHD) flow, and heat transfer of a viscous and incompressible electrically conducting nanofluid consists of water and Cu metal, through a microparallel channel under the combined effect of pressure and vertically acting magnetic field is found. An exact solution is calculated through Laplace transform using the software of Mathematica to find the steady velocity and temperature field depending on many dimensionless parameters. The electromagnetic couple effect, the volumetric generation of heat caused by the Joule heating effect, and viscous dissipation are considered to analyze the thermally fully formed heat flow problem based on the steady part of the velocity field. The exact result of the temperature field is obtained by taking the uniform boundary heat flux. The significant parameter of heat flow known as the Nusselt number, depending on the height of the microtube, is defined. At last, the entropy generation of MHD temperature flow is analyzed. The interpretation of variations that occurred in internal and external entropy generations is given and consequences are explained.
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An exact solution for the entropy base °ow of electroosmotic
magneto-nano°uid through microparallel channel
M. Bilal
*,||
, Showkat Ahmad Lone
†
, Sadia Anwar
‡
, Sana Shahab
§
,
Seerat Fatima
*
, M. Ramzan
and M. Nadeem
*
*
The University of Chenab, Gujrat 50700, Pakistan
†
Department of Basic Sciences,
College of Science and Theoretical Studies,
Saudi Electronic University,
Jeddah-M, Riyadh 11673, Kingdom of Saudi Arabia
‡
Department of Mathematics,
College of Arts and Sciences,
Wadi Ad Dawasir (11991),
Prince Sattam Bin Abdul Aziz University,
Al-Kharj, Kingdom of Saudi Arabia
§
Department of Business Administration,
College of Business Administration,
Princess Nourah bint Abdulrahman University,
P. O. Box 84428, Riyadh 11671, Saudi Arabia
Department of Computer Science,
Bahria University 44000, Islamabad, Pakistan
||
me.bilal.786@gmail.com
Received 2 August 2023
Revised 4 October 2023
Accepted 22 October 2023
Published 9 February 2024
An exact solution of steady state, electroosmotic, transient magnetohydrodynamic (MHD) °ow,
and heat transfer of a viscous and incompressible electrically conducting nano°uid consists of
water and Cu metal, through a microparallel channel under the combined e®ect of pressure and
vertically acting magnetic ¯eld is found. An exact solution is calculated through Laplace
transform using the software of Mathematica to ¯nd the steady velocity and temperature ¯eld
depending on many dimensionless parameters. The electromagnetic couple e®ect, the volu-
metric generation of heat caused by the Joule heating e®ect, and viscous dissipation are con-
sidered to analyze the thermally fully formed heat °ow problem based on the steady part of the
velocity ¯eld. The exact result of the temperature ¯eld is obtained by taking the uniform
boundary heat °ux. The signi¯cant parameter of heat °ow known as the Nusselt number,
depending on the height of the microtube, is de¯ned. At last, the entropy generation of MHD
temperature °ow is analyzed. The interpretation of variations that occurred in internal and
external entropy generations is given and consequences are explained.
||
Corresponding author.
International Journal of Modern Physics B
Vol. 39, No. 1 (2025) 2550003 (23 pages)
#
.
cWorld Scienti¯c Publishing Company
DOI: 10.1142/S0217979225500031
2550003-1
... A comparative investigation of the ferromagnetic trihybrid and hybrid nanofuid fows over an exponentially stretched sheet with irreversibility analysis afected by an induced magnetic feld and surface-catalyzed reactions is performed by Shahmir et al. [27]. Bilal et al. [28] elaborated an exact solution for a hybrid nanofuid electroosmotic fow in a microchannel infuenced by an applied magnetic feld and viscous dissipation using Laplace transform method with entropy generation analysis. Jazaa et al. [29] examined numerically Powell-Eyring hybrid nanofuid thin flm fow with entropy generation and ohmic dissipation and slip efects. ...
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