An analysis is performed to study the effect of non-uniform double slot suction (injection) into a steady two-dimensional laminar boundary layer flow when fluid properties such as viscosity and Prandtl number are inverse linear functions of temperature. Non-similar solutions have been obtained from the starting point of the streamwise co-ordinate to the exact point of separation. By applying an implicit finite difference scheme in combination with the quasi-linearization technique and an appropriate selection of the finer step sizes along the streamwise direction, the difficulties arising at the starting point of the streamwise co-ordinate, at the edges of the slot and at the point of separation have been overcome. The results indicate that the separation can be delayed by non-uniform double slot suction and also by moving the slot downstream. However, the effect of non-uniform double slot injection is just the opposite. © 2008 Elsevier Ltd. All rights reserved.

Satyajit Roy

Saikrishnan P

Mohammed Rizwan Sadiq I

Pandey B.D.

Aerodynamics

Boundary layer flow

Boundary layers

Hydrodynamics

linearization

Separation

water analysis

finite difference schemes

Fluid properties

LAMINAR BOUNDARY LAYER FLOWS

Linear functions

LINEARIZATION TECHNIQUES

Non uniforms

SLOT INJECTIONS

STEP SIZES

Streamwise directions

Water injection

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VIT University

International Journal of Heat and Mass Transfer

Boundary layer flow phenomenons on a stretching sheet find numerous applications in industrial processes such as manufacture and extraction of rubber and polymer sheets. The current study focuses on two-dimensional water boundary layer flow on exponential stretching surface with a vertical plate for variable physical properties of fluid such as viscosity and Prandtl number. The Quasilinearization technique has been used on governing equations to transform nonlinear to linear equations and these equations are discretized by finite difference techniques to get numerical solutions. The effect of buoyancy parameters (λ), velocity ratio parameter (ε) and streamwise coordinator (ξ) on velocity profiles (F), temperature profiles (θ), local skin-friction coefficient (Cfx(ReLξexp(ξ))1/2) and the local Nusselt number (Nux(ReLξexp(ξ))−1/2) has been analyzed graphically based on numerical outcome. The magnitude of velocity profiles (F) increases and temperature profile decreases approximately by 4% and 16% with increases the buoyancy parameter from λ = 1 to λ = 3 at = 0.5 and ξ = 1.0. The skinfriction and heat transfer coefficient increases approximately by 22% and 27% with an increase in ξ from 0.5 to 1.0 at fixed ε = 0.5 and λ = 1.0. The variations of velocity profiles and temperature profiles have more impact with ε as compared to ξ and λ. The benchmark studies were carried out to validate the current results with previously published work and found to be in excellent agreement. © 2019 Wiley Periodicals, Inc.

Heat Transfer - Asian Research

Analysis of a boundary layer flow over moving an exponentially stretching surface with variable viscosity and Prandtl number

A very recent study of Patil et al. (2017) on the effects of steady mixed convection flow with an exponentially decreasing free stream velocity motivates this research investigation. The present analysis reveals the mixed convection impact over an exponentially decreasing free stream velocity in an unsteady incompressible laminar boundary layer flow involving the effects of suction or blowing and heat generation or absorption. By utilizing the appropriate non-similar transformations, the complex dimensional governing boundary layer equations are simplified into dimensionless equations. In order to prevail the mathematical convolutions in attaining the non-similar solutions at the leading edge of the streamwise coordinate as well as non-similarity variable ξ, the coalition of implicit finite difference scheme and the Quasi-linearization technique is used with the suitable step sizes along the streamwise and time directions. The effects of various dimensionless physical parameters over the momentum and thermal fields are examined. The range of the parameters studied in this analysis are taken as α(-0.5⩽α⩽1.0), ξ(0⩽ξ⩽1), τ(0⩽τ⩽1), ε(0.000001⩽ε⩽0.1), Ri(-3⩽Ri⩽10), Re(10⩽Re⩽250), A(-1⩽A⩽1) and Q(-1⩽Q⩽1). Further, the present numerical investigation is focussed towards unsteady flow and heat transfer characteristics. © 2017 Elsevier Ltd

Unsteady mixed convection over an exponentially decreasing external flow velocity

An analysis is performed to obtain the non-similar solution of a steady incompressible laminar boundary layer flow for an exponentially decreasing free stream velocity with non-uniform multiple slot injection (suction). The difficulties in obtaining the non-similar solutions at the starting point of the stream-wise coordinate, at the edges of the slot and at the point of separation are overcome by applying an implicit finite difference scheme in combination with the quasi-linearization technique and an appropriate selection of the finer step sizes along the stream-wise direction. Results are presented for ε{lunate} = 0.001 and for different values of mass transfer parameter, - 0.075 ≤ A ≤ 1.0. It is observed that the separation can be delayed by non-uniform multiple slot suction and also by moving the slots downstream but the effect of non-uniform multiple slot injection is just reverse. © 2007 Elsevier Ltd. All rights reserved.

International Communications in Heat and Mass Transfer

Multiple slot suction/injection into an exponentially decreasing free stream flow

Journal of the American Chemical Society

CRC Handbook of Chemistry and Physics, 2009−2010, 90th ed. CRC Handbook of Chemistry and Physics, 2009−2010, 90th ed . Edited by David R. Lide , Editor-in-Chief, and W. M. “Mickey” Haynes , Associate Editor (National Institute of Standards and Technology, Gaithersburg, MD, USA). CRC Press (an imprint of Taylor & Francis Group): Boca Raton, FL.  2009 . $149.95. ISBN 978-1-4200-9084-0 .

Heat and Mass Transfer

Non-uniform mass transfer or wall enthalpy into a compressible flow over a rotating sphere

Effect of variable viscosity on mixed convection boundary layer flow over a vertical surface embedded in a porous medium

A general analysis has been developed to investigate the influence of non-uniform double slot injection (suction) on the steady non-similar incompressible laminar boundary layer flow over a slender cylinder, where the slender cylinder is inline with the flow. Non-similar solutions are obtained starting from the origin of the stream-wise coordinate along the stream-wise direction by using an implicit finite difference scheme in combination with the quasilinearization technique. Numerical results are reported to display the effects of non-uniform double slot injection/suction on skin friction coefficient and heat transfer rate at the wall. Further, the effects of viscous dissipation and Prandtl number on velocity and temperature profile, and skin friction and heat transfer co-efficients are also presented in this paper. © 2007 Elsevier Ltd. All rights reserved.

Non-uniform double slot injection (suction) on a forced flow over a slender cylinder

Non-uniform double slot suction (injection) into water boundary layer flows over a cylinder

Journal	International Journal of Heat and Mass Transfer
ISSN	00179310
Open Access	No