Stokes' First Problem for an MHD Burgers Fluid

Khan, Masood

doi:10.1088/0253-6102/59/1/18

Cited by 4 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A large number of researchers have investigated the First Stokes Problem in non-Newtonian fluids with a variety of constitutive models. We point out here those by Tanner [19], Teipel [20], Rajagopal and Na [21], Phan-Thien and Chew [22], Fetecau and Fetecau [23], Fetecau and Zierep [24], Christov and Jordon [25], Khan [26] and Choubey [27]. To the author's best knowledge there is no study available in the literature that uses the constitutive equation of Walters' liquid B 0 model in combination with the equation of energy for this flow problem.…”

Section: Introductionmentioning

confidence: 96%

Flow due to an infinite flat plate suddenly set into motion in a viscoelastic fluid: first Stokes problem

Dholey¹

2019

Sādhanā

View full text Add to dashboard Cite

The problem of flow and heat transfer due to an infinite flat surface suddenly set into motion in an unbounded mass of viscoelastic fluid is investigated under the consideration of time-dependent temperature distribution along the plate surface. A new type of similarity solution is devised that converts the governing partial differential equations into a set of non-linear ordinary differential equations with four physical parameters, viz., viscoelastic parameter k, unsteadiness parameter b, Eckert number E and Prandtl number Pr. These equations are then solved numerically by finite-difference method after using the perturbation technique owing to the inherent unavailability of the necessary boundary conditions for solving this type of flow problem. The influences of these parameters on this flow dynamics are graphically analysed. The present analysis discloses that both the velocity and temperature at a given location decrease with the increase of the elasticity in the fluid as well as the unsteadiness of the flow field. The analysis reveals that the elastic property of the fluids causes the back-flow inside the boundary layer after a certain value of the unsteadiness parameter depending upon the presence of elasticity in the fluids. Another important result of this study that comes from the heat transfer analysis is that the elasticity of the fluids reduces the severity of the unwanted effect of the viscous heating.

show abstract

Section: Introductionmentioning

confidence: 96%

Flow due to an infinite flat plate suddenly set into motion in a viscoelastic fluid: first Stokes problem

Dholey¹

2019

Sādhanā

View full text Add to dashboard Cite

show abstract

Forced convection analysis for generalized Burgers nanofluid flow over a stretching sheet

Khan

2015

AIP Advances

View full text Add to dashboard Cite

This article reports the two-dimensional forced convective flow of a generalized Burgers fluid over a linearly stretched sheet under the impacts of nano-sized material particles. Utilizing appropriate similarity transformations the coupled nonlinear partial differential equations are converted into a set of coupled nonlinear ordinary differential equations. The analytic results are carried out through the homotopy analysis method (HAM) to investigate the impact of various pertinent parameters for the velocity, temperature and concentration fields. The obtained results are presented in tabular form as well as graphically and discussed in detail. The presented results show that the rate of heat transfer at the wall and rate of nanoparticle volume fraction diminish with each increment of the thermophoresis parameter. While incremented values of the Brownian motion parameter lead to a quite opposite effect on the rates of heat transfer and nanoparticle volume fraction at the wall.

show abstract

MHD Flow and Heat Transfer of a Generalized Burgers’ Fluid due to a Periodic Oscillating and Periodic Heating Plate

Bai

Jiang

Zhang

et al. 2017

Commun. Theor. Phys.

View full text Add to dashboard Cite

This paper investigates the MHD flow and heat transfer of the incompressible generalized Burgers' fluid due to a periodic oscillating plate with the effects of the second order slip and periodic heating plate. The momentum equation is formulated with multi-term fractional derivatives, and by means of viscous dissipation, the fractional derivative is considered in the energy equation. A finite difference scheme is established based on the G1-algorithm, whose convergence is confirmed by the comparison with the analytical solution in an example. Meanwhile the numerical solutions of velocity, temperature and shear stress are obtained. The effects of involved parameters on velocity and temperature fields are presented graphically and analyzed in detail. Increasing the fractional derivative parameter α, the velocity and temperature have a decreasing trend, while the influences of fractional derivative parameter β on the velocity and temperature behave conversely. Increasing the absolute value of the first order slip parameter and the second order slip parameter both cause a decrease of velocity. Furthermore, with the decreasing of the magnetic parameter, the shear stress decreases.

show abstract

Stokes' First Problem for an MHD Burgers Fluid

Cited by 4 publications

References 21 publications

Flow due to an infinite flat plate suddenly set into motion in a viscoelastic fluid: first Stokes problem

Flow due to an infinite flat plate suddenly set into motion in a viscoelastic fluid: first Stokes problem

Forced convection analysis for generalized Burgers nanofluid flow over a stretching sheet

MHD Flow and Heat Transfer of a Generalized Burgers’ Fluid due to a Periodic Oscillating and Periodic Heating Plate

Contact Info

Product

Resources

About