Run-up Flow of Oldroyd-B Fluid through a Parallel plate channel

Krishna, M. Veera; Qadri, Syed Yedulla

doi:10.9790/5728-1205030108

Cited by 3 publications

(4 citation statements)

References 16 publications

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“…The distance between the plates is taken to be from -h to +h. The Oldroyd-B fluid model assumed from Veer Krishna and Qadri 5 and can be written as follows:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…With these assumptions alongside the boundary layer approximation, the model governing equations extended from 5 for velocities in the porous and clear regions is taken as [u p , 0, 0] and [u c , 0, 0]. The linear momentum equation of fluid in the two regions are…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Oldroyd-B flow through parallel plates was investigated by VeerKrishna and Qadri. 5 Kaushik et al 6 interpreted viscoelastic fluid with the cases of squeezed and extruded in between two parallel plates. Mohyud-Din et al 7 considered parallel plates to investigate the three-dimensional (3D) magnetohydrodynamics (MHD) rotating flow of a nanofluid.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of porosity significance on an Oldroyd‐B fluid flow transport between parallel plates: Closed form solution

Ram¹,

Shravani

Shamshuddin

et al. 2021

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“…The distance between the plates is taken to be from -h to +h. The Oldroyd-B fluid model assumed from Veer Krishna and Qadri 5 and can be written as follows:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Investigation of porosity significance on an Oldroyd‐B fluid flow transport between parallel plates: Closed form solution

Ram¹,

Shravani

Shamshuddin

et al. 2021

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“…Hussain and Ramacharyulu 18 obtained expressions for ensuring flow rate and skin friction on the boundaries of two impermeable parallel plates impulsively stopped from relative motion. Other results on run‐up flow can be found in the works of Qadri and Krishna, 19 Krishna and Qadri, 20,21 and the numerical solution of run‐up flow through a rectangular pipe by Reddy 22…”

Section: Introductionmentioning

confidence: 97%

Run‐up flow of MHD fluid between parallel porous plates in the presence of transverse magnetic field

2022

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This paper investigated the run‐up flow of magnetohydrodynamics (MHD) incompressible, viscous, Newtonian fluid bounded by two parallel horizontal porous plates in the presence of transverse magnetic field. The fluid flow is initially due to constant pressure gradient, placed parallel to the plates. On attaining steady state, the pressure gradient is suddenly withdrawn and the lower porous plate is set into motion in its own plane, this phenomenon is termed as run‐up flow. The transfer of momentum is as a result of the disturbances emanating from the boundary into the fluid. The initial value problem is solved using Laplace transform technique to obtain the closed‐form solution for the velocity in the Laplace domain. Semi‐analytical result is obtained by an inversion technique based on Riemann‐sum approximation to invert the solution for velocity into its corresponding time domain. The mathematical simulation conducted shows that increasing the Hartmann number is observed to decrease the fluid velocity while increasing the pressure gradient is found to enhance the fluid velocity. Furthermore, the opposing effects of suction/injection parameter on the fluid velocity have been established in the research.

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