Suction and injection effect on flow between two plates with reference to Casson fluid model

V. S. Sampath Kumar, N. P. Pai

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Purpose: The purpose of this paper is to study the effect of injection and suction on velocity profile, skin friction and pressure distribution of a Casson fluid flow between two parallel infinite rectangular plates approaching or receding from each other with suction or injection at the porous plates. Design/methodology/approach: The governing Navier–Stokes equations are reduced to the fourth-order non-linear ordinary differential equation through the similarity transformations. The approximated analytic solution based on the Homotopy perturbation method is given and also compared with the classical finite difference method. Findings: From this study, the authors observed that the skin friction is less in non-Newtonian fluids compared to Newtonian fluids. The use of non-Newtonian fluids reduces the pressure in all the cases compared to Newtonian and hence load-carrying capacity will be more. As γ value increases velocity, skin friction and pressure decreases. When γ is fixed, it is observed that skin friction and pressure is minimum for A=0.5 and maximum when A=−0.5. The result of this study also shows that the effect of suction on the velocity profiles, pressure and skin friction is opposite to the effect of injection. Originality/value: The present work analyzes the characteristic of non-Newtonian fluid having practical and industrial applications.

Original languageEnglish
JournalMultidiscipline Modeling in Materials and Structures
DOIs
Publication statusAccepted/In press - 01-01-2018

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Skin Friction
Skin friction
Suction
Fluid Model
Injection
Non-Newtonian Fluid
Fluids
Velocity Profile
Porous plates
Porous Plate
Homotopy Perturbation Method
Carrying Capacity
Rectangular Plate
Similarity Transformation
Newtonian Fluid
Pressure Distribution
Load limits
Nonlinear Ordinary Differential Equations
Industrial Application
Analytic Solution

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "Purpose: The purpose of this paper is to study the effect of injection and suction on velocity profile, skin friction and pressure distribution of a Casson fluid flow between two parallel infinite rectangular plates approaching or receding from each other with suction or injection at the porous plates. Design/methodology/approach: The governing Navier–Stokes equations are reduced to the fourth-order non-linear ordinary differential equation through the similarity transformations. The approximated analytic solution based on the Homotopy perturbation method is given and also compared with the classical finite difference method. Findings: From this study, the authors observed that the skin friction is less in non-Newtonian fluids compared to Newtonian fluids. The use of non-Newtonian fluids reduces the pressure in all the cases compared to Newtonian and hence load-carrying capacity will be more. As γ value increases velocity, skin friction and pressure decreases. When γ is fixed, it is observed that skin friction and pressure is minimum for A=0.5 and maximum when A=−0.5. The result of this study also shows that the effect of suction on the velocity profiles, pressure and skin friction is opposite to the effect of injection. Originality/value: The present work analyzes the characteristic of non-Newtonian fluid having practical and industrial applications.",
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