Nonlinear radiation effects on squeezing flow of a Casson fluid between parallel disks

Mohyud‐Din, Syed Tauseef; Khan, Sheikh Irfanullah

doi:10.1016/j.ast.2015.10.019

Cited by 56 publications

(29 citation statements)

References 27 publications

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“…The geometry is a cylindrical coordinate system ( r , ϕ, z ) here

\partial / \partial ϕ = 0

since the rotational symmetry of the flow. The governing equations of unsteady 2D unsteady heat and mass transfer of Casson fluid in the influence of mixed convection, radiation, Soret and Dufour are as follows:

u_{r} + u / r + w_{z} = 0,

\begin{array}{l} ρ (u_{t} + u u_{r} + w u_{z}) = - p_{r} + μ true(1 + \frac{1}{β} true) (u_{r r} + false(1 / r false) u_{r} - u / r^{2} + u_{z z}) + ρ g β_{T} false(T - T_{w} false) \\ + ρ g β_{C} false(C - C_{w} false) \end{array},

ρ true(w_{t} + u w_{r} + w w_{z} true) goodbreakinfix= prefix- p_{z} goodbreakinfix+ μ (1 + \frac{1}{β}) (w_{r r} + w_{z z} + false(1 <...>

…”

Section: Governing Equationsmentioning

confidence: 99%

“…The geometry is a cylindrical coordinate system (r, ϕ, z) here ∂ ∂ϕ / = 0 since the rotational symmetry of the flow. The governing equations of unsteady 2D unsteady heat and mass transfer of Casson fluid in the influence of mixed convection, radiation, Soret and Dufour are as follows 2,7,8 :…”

Section: Governing Equationsmentioning

confidence: 99%

“…Pramanik had studied two‐dimensional (2D) steady radiative Casson fluid flow over a stretching sheet and used the shooting method to solve the reduced nonlinear ordinary differential equations (ODEs). Mohyud‐Din and Khan had analyzed an unsteady MHD 2D squeezing flow confined between two parallel disks channel with nonlinear radiation effect, and the governing PDE was converted as a nonlinear ODE by using similarity variables and solved by homotopy analysis method (HAM). Khan et al examined the squeezing flow and heat transfer of the Casson fluid confined between two parallel plates and achieved an analytical solution using homotopy perturbation method (HPM).…”

Section: Introductionmentioning

confidence: 99%

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Second law analysis in radiative mixed convective squeezing flow of Casson fluid between parallel disks with Soret and Dufour effects

Ramesh

Ojjela

Kumar

2019

Heat Trans. Asian Res.

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The present communication deals the entropy generation by cause of heat and mass transform in an unsteady mixed convective radiative squeezing flow of a Casson fluid confined between two parallel disks in the presence of diffusion‐thermo and thermal‐diffusion effects and temperature jump. The lower disk is taken to be porous and the upper one is impermeable. The governing PDE is converted as nonlinear ordinary differential equations (ODE) by using well‐established similarity transformations; then, the reduced nonlinear ODE are solved by shooting method with Runge‐Kutta fourth‐order approach. The influence of distinct nondimensional fluid and geometric‐related parameters on the velocity profiles, temperature, concentration, entropy generation number, and Bejan number are studied in detail and represented in the form of graphs. The entropy of the Casson fluid is increased with the Eckert number, whereas the concentration profile is decreased by squeezing Reynolds number. The current results are correlated with existing results for the viscous case and found to be in better agreement.

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“…The geometry is a cylindrical coordinate system ( r , ϕ, z ) here

\partial / \partial ϕ = 0

u_{r} + u / r + w_{z} = 0,

\begin{array}{l} ρ (u_{t} + u u_{r} + w u_{z}) = - p_{r} + μ true(1 + \frac{1}{β} true) (u_{r r} + false(1 / r false) u_{r} - u / r^{2} + u_{z z}) + ρ g β_{T} false(T - T_{w} false) \\ + ρ g β_{C} false(C - C_{w} false) \end{array},

ρ true(w_{t} + u w_{r} + w w_{z} true) goodbreakinfix= prefix- p_{z} goodbreakinfix+ μ (1 + \frac{1}{β}) (w_{r r} + w_{z z} + false(1 <...>

…”

Section: Governing Equationsmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Second law analysis in radiative mixed convective squeezing flow of Casson fluid between parallel disks with Soret and Dufour effects

Ramesh

Ojjela

Kumar

2019

Heat Trans. Asian Res.

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“…Different researchers used BVPh2.0 package to solve the equations of various types. 24,25 It is revealed from the literature survey that there is no study available that considered the mixed convection squeezing flow of a nanofluid between parallel disks. Due to the nonlinearity of the equations corresponding to these problems, an exact solution is unlikely; so, many analytical techniques, such as homotopy perturbation method, variational iteration method, and variation of parameters method, have been developed to approximate the solutions.…”

Section: Introductionmentioning

confidence: 99%

Unsteady mixed convection squeezing flow of nanofluid between parallel disks

Mohyud‐Din

Khan

Darus

et al. 2016

Advances in Mechanical Engineering

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In this article, mixed convection squeezing flow of a nanofluid between parallel disks is considered. The partial differential equations governing the flow problem are converted into coupled system of ordinary differential equation with the help of suitable similarity transforms. Homotopy analysis method is employed to solve the coupled system of ordinary differential equations. The influence of involved parameters, on velocity, temperature, and concentration profile, is presented graphically coupled with detailed discussion. The results for skin friction coefficient and Nusselt and Sherwood numbers are also a part of this study. Numerical solution is also obtained with the help of Runge-Kutta method of order 4. An excellent agreement is found between analytical and numerical solutions. From the results obtained, we observe that the skin friction coefficient decreases with increasing squeeze number for the case of injection and increases with increase in squeeze number for the case of injection at the walls. Furthermore, Nusselt number gets a rise with increment in squeeze number for the case of injection at the wall and a drop in Nusselt number for the case of suction at the wall is observed when there is suction at the wall. Sherwood number is seen to drop quite steeply with higher values of squeeze number for the injection case and a rise in Sherwood number for the suction is observed when there is suction at the wall.

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“…Liao presented a new form of HAM and implemented it on as a novel analysis to the field [31][32][33]. Different researchers used BVPh2.0 package to solve the equations of various types [34,35]. Therefore, the above problem is solved by Homotopy Analysis Method (HAM) using the package BVPh2.0.…”

Section: Introductionmentioning

confidence: 99%

Squeezing Flow of Micropolar Nanofluid between Parallel Disks

Khan¹,

Mohyud‐Din²,

Yang³

2016

Journal of Magnetics

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In the present study, squeezing flow of micropolar nanofluid between parallel infinite disks in the presence of magnetic field perpendicular to plane of the disks is taken into account. The constitutive equations that govern the flow configuration are converted into nonlinear ordinary differential with the help of suitable similarity transforms. HAM package BVPh2.0 has been employed to solve the nonlinear system of ordinary differential equations. Effects of different emerging parameters like micropolar parameter K, squeezed Reynolds number R, Hartmann number M, Brownian motion parameter Nb, thermophoresis parameter Nt, Lewis number Le for dimensionless velocities, temperature distribution and concentration profile are also discussed graphically. In the presence of strong and weak interaction (i.e. n = 0 and n = 0.5), numerical values of skin friction coefficient, wall stress coefficient, local Nusselt number and local Sherwood number are presented in tabulated form. To check the validity and reliability of the developed algorithm BVPh2.0 a numerical investigation is also a part of this study.

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Nonlinear radiation effects on squeezing flow of a Casson fluid between parallel disks

Cited by 56 publications

References 27 publications

Second law analysis in radiative mixed convective squeezing flow of Casson fluid between parallel disks with Soret and Dufour effects

Second law analysis in radiative mixed convective squeezing flow of Casson fluid between parallel disks with Soret and Dufour effects

Unsteady mixed convection squeezing flow of nanofluid between parallel disks

Squeezing Flow of Micropolar Nanofluid between Parallel Disks

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