Geodesic
Thermo-viscous fluid flow in porous slab bounded between two impermeable parallel plates in relative motion: Four stage algorithm approach
Applications of Mathematics, Tome 69 (2024) no. 6, pp. 807-827 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/AM.2024.0144-23
Classification : 35Q35, 58D30
Keywords: Darcy's porosity parameter; thermo-mechanical stress coefficient; strain thermal conductivity coefficient 
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     title = {Thermo-viscous fluid flow in porous slab bounded between two impermeable parallel plates in relative motion: {Four} stage algorithm approach},
     journal = {Applications of Mathematics},
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Pothanna, Nalimela; Aparna, Podila; Reddy, M. Pavankumar; Reddy, R. Archana; Anand, M. Clement Joe. Thermo-viscous fluid flow in porous slab bounded between two impermeable parallel plates in relative motion: Four stage algorithm approach. Applications of Mathematics, Tome 69 (2024) no. 6, pp. 807-827. doi: 10.21136/AM.2024.0144-23

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