Header menu link for other important links
X
Analysis of mixed convection in water boundary layer flows over a moving vertical plate with variable viscosity and Prandtl number
S. Roy, Abhishek Kumar Singh,
Published in Emerald Publishing Limited
2019
Volume: 29
   
Issue: 2
Pages: 602 - 616
Abstract

Purpose
The purpose of the present study is to analyze the mixed convection water boundary layer flows over moving vertical plate with variable viscosity and Prandtl number. The non-linear partial differential equation governing the flow and thermal fields are presented in non-dimensional form by using appropriate transformation. The quasi-linearization technique in combination with implicit finite difference scheme has been adopted to solve the nonlinear-coupled partial differential equation. The numerical results are displayed graphically to illustrate the influence of various non-dimensional physical parameters on velocity and temperature. Further, the numerical results for local skin-friction coefficient and local Nusselt number are also reported. The present findings are compared with previously reported results, and these comparisons are found to be in excellent agreement.

Design/methodology/approach
The nonlinear partial differential equations governing the flow and thermal fields have been solved numerically using the implicit finite difference scheme in combination with the quasi-linearization technique. The numerical results are presented in terms of skin friction and heat transfer rate which are useful in determining the surface heat requirements for stabilizing the laminar boundary layer flow over a moving plate in water.

Findings
The effect of the ratio of free-stream velocity to the composite reference velocity is significant on the velocity profile. Near the wall region, as ratio of free stream velocity to composite reference velocity increases form 0.1 to 0.5, the velocity overshoot gets enhanced from 3 per cent to 41 per cent. The influence of buoyancy parameter and ration of free stream velocity to composite reference velocity on temperature profile is comparatively less than on velocity profiles. The increase in the skin friction coefficient is dependent on the increase in the value of ratio of free stream velocity to composite reference velocity if the buoyancy parameter λ is fixed and vice versa and increases in ΔT results in a decrease in N and Pr.

Originality/value
The present investigation is to deal with the solution of steady laminar water boundary layer flows over a moving plate with temperature-dependent viscosity and Prandtl number applicable for water using practical data. The fluid considered here is water, as it is one of the most common working fluids found in engineering applications.

About the journal
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
PublisherEmerald Publishing Limited
ISSN0961-5539
Open AccessNo
Concepts (25)
  •  related image
    Buoyancy
  •  related image
    Finite difference method
  •  related image
    Friction
  •  related image
    Laminar boundary layer
  •  related image
    Linear transformations
  •  related image
    Linearization
  •  related image
    Mathematical transformations
  •  related image
    Mixed convection
  •  related image
    Nonlinear equations
  •  related image
    Nusselt number
  •  related image
    Partial differential equations
  •  related image
    Prandtl number
  •  related image
    Rivers
  •  related image
    SKIN FRICTION
  •  related image
    Velocity
  •  related image
    Viscosity
  •  related image
    COUPLED PARTIAL DIFFERENTIAL EQUATIONS
  •  related image
    Implicit finite-difference schemes
  •  related image
    NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
  •  related image
    QUASI-LINEARIZATION
  •  related image
    Temperature dependent viscosity
  •  related image
    VARIABLE PRANDTL NUMBER
  •  related image
    VARIABLE VISCOSITY
  •  related image
    WATER BOUNDARIES
  •  related image
    Boundary layer flow