Numerical analysis of Walters-B fluid flow and heat transfer over a stretching cylinder

Majeed, Aaqib; Javed, Tariq; Shami, Sumyya

doi:10.1139/cjp-2015-0511

Cited by 10 publications

(3 citation statements)

References 21 publications

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“…The Cauchy stress tensor [43] for Walter's B fluid is given by here pressure is P and identity tensor is denoted by the symbol I and the restrictive viscosity is shown by 0 and k 0 is short memory coefficient. Also where A 1 is Rivilin-Ericksen tensor and Using all these values in Eq.…”

Section: Problem Formulationmentioning

confidence: 99%

Numerical investigation of squeezing flow of Walters’ B fluid through parallel plates

Hussain¹,

Akbar²,

Sarwar³

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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The present mathematical formulation focuses on unsteady boundary layer squeezing flow of a Walter's B fluid between parallel plates. Heat transfer phenomenon is also a momentous content to investigate the current problem. Momentum and energy equations are developed to flourish the consequences of the problem. Modeled coupled partial differential equations are metamorphosed into resemblance form of ordinary differential equations by using competent similarity transformations. Non-dimensional form of governing equations is elucidated with shooting technique along Runge-Kutta method to obtain numerical solution. The influences of sundry dynamic variables such as dimensionless length parameter, the squeezing number, Prandtl number and the Eckert number on the dimensionless profiles are evaluated and presented graphically. The skin friction coefficient is also explained with the aid of graph and table.

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Section: Problem Formulationmentioning

confidence: 99%

Numerical investigation of squeezing flow of Walters’ B fluid through parallel plates

Hussain¹,

Akbar²,

Sarwar³

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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show abstract

“…In this regard, initial contributions of Rajagopal et al [1], Kaloni and Siddiqui [2], Cortell [3], Pontrelli [4], Vajravelu and Roper [5] and Ariel [6] concerning deforming surface induced viscoelastic fluid flows has led to the publications of numerous research articles on the topic. Refer to the recently published works of Jafarimoghaddam et al [7], Raees et al [8], Majeed et al [9], Ahmad et al [10],…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

Malik,

Mustafa

2023

Phys. Scr.

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Current study aims at simulating fluid flow due to a deformable heated surface in an otherwise static viscoelastic fluid obeying Walters-B model. Velocity of the surface is supposed to grow as time from its initiation of motion progress. Simulations in this work are based on the assumption of quadratic surface temperature distribution. Temperature rise attributed to the frictional heating effect is accounted for in the analysis. By choosing appropriate base functions, homotopy solutions are developed for reasonably large values of material fluid parameter. Reliability of the analytical results is established by computing averaged squared residual of the system. The contributions of the surface acceleration and elasticity on the boundary layer formation are enlightened through the plots of velocity components and temperature. Skin friction measuring the stress experienced by the surface is evaluated and examined under different controlling parameters. The paper also presents a numerical solution using NDSolve of MATHEMATICA in a special case of steady flow, and such solution agrees very well with the corresponding homotopy solution.

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“…Abdul et al [1] studied analytically the effect of Walter's liquid B fluid through an impermeable stretching sheet with radiation and viscous deformations. Two-dimensional magnetohydrodynamic Walter's liquid B fluid over a stretching cylinder is investigated by Majeed et al [2]. Analytical solution for Walter's liquid B fluid through a stretching cylinder is analyzed by Hussain and Ullah [3].…”

Section: Introductionmentioning

confidence: 99%

Effect of Inclined Magnetic Field and Heat Transfer in a Walter’s B Fluid over a Stretching Sheet with Elastic Deformation

Ragavan

Munirathinam

Nayak

et al. 2020

JERA

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This article deals with the heat transfer in a Walter’s liquid B fluid through a stretching sheet subject to elastic deformation. We have incorporated the combined effects of aligned magnetic field and viscous dissipation. The effect of viscous dissipation regulating the heat transfer is considered. In addition, prescribed power law surface temperature and prescribed power law surface heat flux boundary conditions are introduced. The transformed non-linear coupled governing equations are solved analytically using hyper geometric function. The effects of various embedded pertinent parameters on velocity and temperature profiles are well discussed with the aid of appropriate graphs and tables. Our results are verified with previously published results of some noteworthy researchers. It is found that the augmenting aligned magnetic field strength reduces the flow velocity and the related momentum boundary layer thickness.

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Numerical analysis of Walters-B fluid flow and heat transfer over a stretching cylinder

Cited by 10 publications

References 21 publications

Numerical investigation of squeezing flow of Walters’ B fluid through parallel plates

Numerical investigation of squeezing flow of Walters’ B fluid through parallel plates

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

Effect of Inclined Magnetic Field and Heat Transfer in a Walter’s B Fluid over a Stretching Sheet with Elastic Deformation

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