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

Hussain, Azad; Akbar, Sobia; Sarwar, Lubna; Malik, M.Y.

doi:10.1007/s40430-019-1984-4

Cited by 5 publications

(4 citation statements)

References 40 publications

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“…For the purpose of numerical investigation, we have made comparison of our current article with three previous publications, which shows our results in this study are better than the previous literature [4,12,20] . e solution for ( 44) and ( 45) and ( 48) and ( 49) is obtained by using shooting technique with Runge-Kutta method [23,[36][37][38].…”

Section: Numerical Solutionmentioning

confidence: 67%

Probe of Radiant Flow on Temperature-Dependent Viscosity Models of Differential Type MHD Fluid

Hussain

Akbar

Sarwar

et al. 2020

Mathematical Problems in Engineering

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This paper numerically investigates the combined effects of the radiation and MHD on the flow of a viscoelastic Walters’ B liquid fluid model past a porous plate with temperature-dependent variable viscosity. To study the effects of variable viscosity on the fluid model, the equations of continuity, momentum with magnetohydrodynamic term, and energy with radiation term have been expanded. To understand the phenomenon, Reynold’s model and Vogel’s model of variable viscosity are also incorporated. The dimensionless governing equations are two-dimensional coupled and highly nonlinear partial differential equations. The highly nonlinear PDEs are transferred into ODEs with the assistance of suitable transformations which are solved with the help of numerical techniques, namely, shooting technique coupled with Runge–Kutta method and BVP4c solution method for the numerical solutions of governing nonlinear problems. Viscosity is considered as a function of temperature. Skin friction coefficient and Nusselt number are investigated through tables and graphs in the present probe. The behavior of emerging parameters on the velocity and temperature profiles is studied with the help of graphs. For Reynold’s model, we have shrinking stream lines and increasing three-dimensional graphs. γ and Pr are reduced for both models.

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Section: Numerical Solutionmentioning

confidence: 67%

Probe of Radiant Flow on Temperature-Dependent Viscosity Models of Differential Type MHD Fluid

Hussain

Akbar

Sarwar

et al. 2020

Mathematical Problems in Engineering

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“…c h versus bioconvection Lewis number ( ) Lb , bioconvection Peclet number ( ) Pe and microorganisms concentration difference parameter ( ) W is studied through figures (18)(19)(20). Figure 18 is drawn to study the impact of Lb on ( ) c h , from this figure we observe that ( ) c h monotonically decreases via higher Lb.…”

Section: Behavior Of Concentration Of Microorganisms ( ( ))mentioning

confidence: 97%

“…MHD flow behavior of hybrid nanofluid in a channel with active heaters and coolers is investigated by Ma et al [12]. Some current advancements on non-Newtonian nanofluids is listed in [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Investigation of natural bio-convective flow of Cross nanofluid containing gyrotactic microorganisms subject to activation energy and magnetic field

2020

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The aim of current communication is to investigate the flow features of Cross nanomaterial over stretched porous surface subject to activation energy and magnetic field. The idea of gyrotactic microorganisms is used to stabilize the nanoparticles in Cross fluid. Temperature relation is modeled considering thermal radiation and viscous dissipation. Furthermore, Bio-convection through mutual effects of thermophoresis and Brownian diffusion is also considered. Boundary layer assumptions are used to obtain the flow expressions. The obtained flow expressions are transformed into non-dimensional one using similarity transformations. Newton built in shooting technique code in Mathematica software is implemented to study the impact of potential parameters on velocity, temperature, concentration and concentration of microorganisms. Numerical computations for physical quantities such as skin friction, Nusselt, Sherwood and density numbers are also discussed. Important observations are highlighted at the end.

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“…Also, the concentration specie is high such that the impact of Soret-Dufour is not negligible. From [16], Cauchy stress tensor 𝑇is:…”

Section: Mathematical Flow Analysismentioning

confidence: 99%

Viscous dissipation and Joule heating Effects on Unsteady flow of Walters-B and tangent hyperbolic liquid past a semi-infinite vertical porous plate

Pavani

Reddy

2022

Preprint

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The major aim of this communications is to examine the mass and heat transport process of two non-Newtonian liquids (Walters-B and hyperbolic tangent liquid) flowing into the boundary layer through a semi-infinite upward penetrable plate. The flow analysis is governed by partial differential equations (PDEs). The PDEs are reduced by utilizing a suitable quantity to obtain set of dimensionless PDEs. The simplified equations are solved by utilizing the spectral relaxation method (SRM). SRM is a technique that solved differential equations iteratively by first decoupling the system. This communication is unique because it elucidated the simultaneous flow of two non-Newtonian liquids with flow radiation, and Joule heating, viscous dissipation, magnetic field and so on. Increasing magnetic term enhances Lorentz force and the velocity degenerates owning to the simultaneous flow of Walters-B and hyperbolic tangent liquid, increase in the Weissenberg number elevates the velocity profile. The outcomes of this agrees with previous outcomes.

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

Cited by 5 publications

References 40 publications

Probe of Radiant Flow on Temperature-Dependent Viscosity Models of Differential Type MHD Fluid

Probe of Radiant Flow on Temperature-Dependent Viscosity Models of Differential Type MHD Fluid

Investigation of natural bio-convective flow of Cross nanofluid containing gyrotactic microorganisms subject to activation energy and magnetic field

Viscous dissipation and Joule heating Effects on Unsteady flow of Walters-B and tangent hyperbolic liquid past a semi-infinite vertical porous plate

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