Run-Up Flow of a Maxwell Fluid through a Parallel Plate Channel

Qadri, Syed Yedulla; Krishna, M. Veera

doi:10.4236/ajcm.2013.34039

Cited by 4 publications

(5 citation statements)

References 11 publications

(10 reference statements)

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“…The skin friction for the steady-state solution is similarly obtained by differentiating Equation (19) with respect to y…”

Section: Skin Frictionmentioning

confidence: 99%

“…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: 96%

“…The authors considered a porous bed under a transverse magnetic field and extensively discussed the behavior of the fluid velocity in the clear region as well as the slip velocity at the interface for various sizes of the porous bed. For the run‐up flow of Maxwell fluid driven by the initial application of pressure gradient however, Qadri and Krishna 17 observed that the magnitude of the velocity is aided with the increase in both Maxwell fluid parameter and Reynolds's number but suppressed with the increase in the applied constant pressure gradient. 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.…”

Section: Introductionmentioning

confidence: 99%

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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 On attaining steady state, the pressure gradient is suddenly withdrawn and the lower porous plate is set into motion in its own plane, this phenomenon is termed as run‐up flow.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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“…The skin friction for the steady-state solution is similarly obtained by differentiating Equation (19) with respect to y…”

Section: Skin Frictionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

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

2022

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“…Satish et al, [21] explored the required time for the steady state of Maxwell fluid, and they also found the dependency of pressure on viscosity. Syed et al, [22] examined the run-up fluid flow of the Maxwell model through the Laplace transformation method. Rana et al, [23] obtained a solution for the UCM fluid flow in a porous medium considering suction/injection and extended it into a three-dimensional setup using the series method.…”

Section: Introductionmentioning

confidence: 99%

Analysis of MHD and Heat Transfer Characteristics of Thermally Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution

Sampath Kumar V S,

Devaki B,

Nityanand P Pai

2024

CFDL

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The current paper studies the MHD and heat transfer characteristics of radiative upper-convected Maxwell fluid flow between two plates approaching or receding from each other with injection at the fixed lower porous plate. The governing momentum and energy equations are reduced into non-linear ordinary differential equations employing similarity transformations. With the help of the Homotopy Perturbation Method (HPM), an approximate analytic solution is obtained. This work aims to determine the effects of Reynolds number (R), Deborah number (De), Radiation parameter (Rd), Magnetic parameter (M), and Prandtl number (Pr) on the velocity and temperature profiles. It is observed that the Deborah number has a direct impact on the velocity profile when there is a squeezed flow. It is also observed that the magnetic parameter shows an indirect impact on the temporal distribution for both the upper plate moving away and towards the lower. The variations in the significant physical parameters on the coefficient of skin friction and heat transfer rates are also calculated. The results are then compared with the classical finite difference method and are in excellent agreement. It is found that larger the magnetic parameter, the dominance of viscous forces retards the velocity in the core region, and the increase in radiation parameter suppresses the heat transfer rates. This study is helpful in industrial applications, specifically in polymer processing.

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“…Rectangular coordinates are used in their analysis. Qadri and Krishna [10] considered the flow of an incompressible viscous Maxwell fluid between two parallel plates, initially induced by a constant pressure gradient. They assumed that pressure gradient is withdrawn and the upper plate moves with a uniform velocity while the lower plate continues to be at rest.…”

Section: Introductionmentioning

confidence: 99%

A Generic Computational Solution of a Natural Convection Flow past an Infinite Vertical Porous Plate

Naroua¹,

Bachir²

2016

AJCM

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A simulation was carried out on an unsteady flow of a viscous, incompressible and electrically conducting fluid past an infinite vertical porous plate. A generic computer program using the Galerkin finite element method is employed to solve the coupled non-linear differential equations for velocity and temperature fields. The diffusion equation, the energy equation, the momentum equations and other relevant parameters are transformed into interpretable postfix codes. Numerical calculations are carried out on the flow fields both in the presence of cooling and heating of the plate by free convection currents. The effects of the dimensionless parameters, namely, the Prandtl number, the Eckert number, the modified Grashof number, the Schmidt number and the time on the temperature and velocity distributions are discussed.

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Run-Up Flow of a Maxwell Fluid through a Parallel Plate Channel

Cited by 4 publications

References 11 publications

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

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

Analysis of MHD and Heat Transfer Characteristics of Thermally Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution

A Generic Computational Solution of a Natural Convection Flow past an Infinite Vertical Porous Plate

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