Thermo-viscous fluid flow in porous slab bounded between two impermeable parallel plates in relative motion: Four stage algorithm approach

Nalimela Pothanna; Podila Aparna; M. Pavankumar Reddy; R. Archana Reddy; M. Clement Joe Anand

Applications of Mathematics (2024)

  • Volume: 69, Issue: 6, page 807-827
  • ISSN: 0862-7940

Abstract

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The problem of an approximate solution of thermo-viscous fluid flow in a porous slab bounded between two impermeable parallel plates in relative motion is examined in this paper. The two plates are kept at two different temperatures and the flow is generated by a constant pressure gradient together with the motion of one of the plates relative to the other. The velocity and temperature distributions have been obtained by a four-stage algorithm approach. It is worth mentioning that reverse effects are noticed on velocity and temperature distributions. These effects can be attributed to Darcy's friction offered by the medium. The approximation results obtained in the present paper are in good agreement with the earlier numerical results of thermo-viscous fluid flows in plane geometry.

How to cite

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Pothanna, Nalimela, et al. "Thermo-viscous fluid flow in porous slab bounded between two impermeable parallel plates in relative motion: Four stage algorithm approach." Applications of Mathematics 69.6 (2024): 807-827. <http://eudml.org/doc/299637>.

@article{Pothanna2024,
abstract = {The problem of an approximate solution of thermo-viscous fluid flow in a porous slab bounded between two impermeable parallel plates in relative motion is examined in this paper. The two plates are kept at two different temperatures and the flow is generated by a constant pressure gradient together with the motion of one of the plates relative to the other. The velocity and temperature distributions have been obtained by a four-stage algorithm approach. It is worth mentioning that reverse effects are noticed on velocity and temperature distributions. These effects can be attributed to Darcy's friction offered by the medium. The approximation results obtained in the present paper are in good agreement with the earlier numerical results of thermo-viscous fluid flows in plane geometry.},
author = {Pothanna, Nalimela, Aparna, Podila, Reddy, M. Pavankumar, Reddy, R. Archana, Anand, M. Clement Joe},
journal = {Applications of Mathematics},
keywords = {Darcy's porosity parameter; thermo-mechanical stress coefficient; strain thermal conductivity coefficient},
language = {eng},
number = {6},
pages = {807-827},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Thermo-viscous fluid flow in porous slab bounded between two impermeable parallel plates in relative motion: Four stage algorithm approach},
url = {http://eudml.org/doc/299637},
volume = {69},
year = {2024},
}

TY - JOUR
AU - Pothanna, Nalimela
AU - Aparna, Podila
AU - Reddy, M. Pavankumar
AU - Reddy, R. Archana
AU - Anand, M. Clement Joe
TI - Thermo-viscous fluid flow in porous slab bounded between two impermeable parallel plates in relative motion: Four stage algorithm approach
JO - Applications of Mathematics
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 6
SP - 807
EP - 827
AB - The problem of an approximate solution of thermo-viscous fluid flow in a porous slab bounded between two impermeable parallel plates in relative motion is examined in this paper. The two plates are kept at two different temperatures and the flow is generated by a constant pressure gradient together with the motion of one of the plates relative to the other. The velocity and temperature distributions have been obtained by a four-stage algorithm approach. It is worth mentioning that reverse effects are noticed on velocity and temperature distributions. These effects can be attributed to Darcy's friction offered by the medium. The approximation results obtained in the present paper are in good agreement with the earlier numerical results of thermo-viscous fluid flows in plane geometry.
LA - eng
KW - Darcy's porosity parameter; thermo-mechanical stress coefficient; strain thermal conductivity coefficient
UR - http://eudml.org/doc/299637
ER -

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