Boundary Layer Analysis for Two-Dimensional Slot Jet Impingement on Inclined Plates

1988 ◽  
Vol 110 (3) ◽  
pp. 577-582 ◽  
Author(s):  
V. K. Garg ◽  
S. Jayaraj
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Stagnation Point ◽  
Jet Impingement ◽  
Skin Friction Coefficient ◽  
Two Dimensional ◽  
Perfect Agreement ◽  
Layer Analysis ◽  
Layer Flow ◽  
Inclined Plates

The laminar boundary layer flow when a two-dimensional slot jet impinges on a flat plate at some angle is analyzed theoretically. The conservation equations in primitive variables are solved using a finite-difference technique. The computed results at 0 and 90 deg angle of impingement are in perfect agreement with the standard solutions available in the literature. The influence of the angle of impingement on the velocity and temperature profiles is studied. The presence of a stagnation point when the plate is not parallel to the oncoming jet is found to affect considerably the local Nusselt number and skin friction coefficient. These parameters attain very large values close to the stagnation point at small angles of impingement. However, far from the stagnation point, they approach values corresponding to a flat plate at zero incidence, irrespective of the angle of jet impingement.

Boundary layer flow near stagnation-points on a vertical surface with slip in the presence of transverse magnetic field

2014 ◽  
Vol 24 (3) ◽  
pp. 643-653 ◽  
Author(s):  
Ibrahim Yakubu Seini ◽  
Daniel Oluwole Makinde
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Boundary Layer ◽  
Friction Coefficient ◽  
Skin Friction ◽  
Stagnation Point ◽  
Vertical Surface ◽  
Skin Friction Coefficient ◽  
Content Type ◽  
Layer Flow

Purpose – The purpose of this paper is to investigate the MHD boundary layer flow of viscous, incompressible and electrically conducting fluid near a stagnation-point on a vertical surface with slip. Design/methodology/approach – In the study, the temperature of the surface and the velocity of the external flow are assumed to vary linearly with the distance from the stagnation-point. The governing differential equations are transformed into systems of ordinary differential equations and solved numerically by a shooting method. Findings – The effects of various parameters on the heat transfer characteristics are discussed. Graphical results are presented for the velocity and temperature profiles whilst the skin-friction coefficient and the rate of heat transfers near the surface are presented. It is observed that the presence of the magnetic field increases the skin-friction coefficient and the rate of heat transfer near the surface towards the stagnation-point. Originality/value – The presence of magnetic field increases the skin-friction coefficient and the rate of heat transfer near the surface towards the stagnation-point.

The magneto-hydrodynamic boundary layer in the two-dimensional steady flow past a semi-infinite flat plate, lII . The influence of an adverse magneto-dynamic pressure gradient

1963 ◽  
Vol 273 (1355) ◽  
pp. 518-537 ◽  
Keyword(s):  
Boundary Layer ◽  
Pressure Gradient ◽  
Flat Plate ◽  
Dynamic Pressure ◽  
Two Dimensional ◽  
Conducting Liquid ◽  
Electrically Conducting ◽  
Hydrodynamic Boundary Layer ◽  
Layer Flow ◽  
The Magnetic Field

An investigation is made of the boundary-layer flow of a viscous electrically conducting liquid in the neighbourhood of a semi-infinite flat plate, the flow being opposed by a magneto-dynamic pressure gradient. The plate is assumed to be unmagnetized and the magnetic field well away from the plate is parallel to the plate.

Boundary layer flow of an Oldroyd-B fluid in the region of a stagnation point over a stretching sheet

2010 ◽  
Vol 88 (9) ◽  
pp. 635-640 ◽  
Author(s):  
M. Sajid ◽  
Z. Abbas ◽  
T. Javed ◽  
N. Ali
Keyword(s):  
Boundary Layer ◽  
Stagnation Point ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Two Dimensional ◽  
Two Dimensional Flow ◽  
Dimensional Boundary ◽  
Layer Flow ◽  
Parameter Values ◽  
The Mathematical Model

In this paper, the mathematical model for the two-dimensional boundary layer flow of an Oldroyd-B fluid is presented. The developed equations are used to discuss the problem of two-dimensional flow in the region of a stagnation point over a stretching sheet. The obtained partial differential equations are reduced to an ordinary differential equation by a suitable transformation. The obtained equation is then solved using a finite difference method. The influence of the pertinent fluid parameters on the velocity is discussed through graphs. The behaviour of f ″(0) is also investigated with changes in parameter values. It is observed that an increase in the relaxation time constant causes a reduction in the boundary layer thickness. To the best of our knowledge, this type of solution for an Oldroyd-B fluid is presented for the first time in the literature.

scholarly journals Unsteady Boundary Layer Flow of a Micropolar Fluid at a Two-Dimensional Stagnation Point on a Moving Wall

2021 ◽  
Vol 16 (3) ◽  
Author(s):  
Seema Goyal
Keyword(s):  
Boundary Layer ◽  
Stagnation Point ◽  
Boundary Layer Flow ◽  
Micropolar Fluid ◽  
Couple Stress ◽  
Stream Velocity ◽  
Two Dimensional ◽  
Unsteady Boundary Layer ◽  
Moving Wall ◽  
Layer Flow

The problem of unsteady boundary layer flow of a micropolar fluid at a two-dimensional stagnation point on a moving wall when the free stream velocity and wall temperature vary arbitrarily with time has been studied. The governing partial differential equations were solved numerically by the Keller box method. The micropolar fluid flow model on a moving wall is capable of predicting the results which exhibit turbulent flow characteristics. Numerical results obtained for velocity, micro rotations and temperature distributions are shown graphically. The velocity distribution has been illustrated for several positive and negative values of the wall velocity. The skin friction, couple stress and transfer rate are found to be strongly dependent on the coupling parameter and time, however the effect of variation in the micro rotation parameter is visible appreciably in case of couple stress only.

scholarly journals Heat and Mass Transfer of Hydrodynamic Boundary Layer Flow along a Flat Plate with the Influence of Variable Temperature and Viscous Dissipation

2021 ◽  
Vol 39 (2) ◽  
pp. 441-450
Author(s):  
Funmilayo H. Oyelami ◽  
Bidemi O. Falodun
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Prandtl Number ◽  
Flat Plate ◽  
Variable Temperature ◽  
Perfect Agreement ◽  
Local Skin ◽  
Flow Equations ◽  
Dissipative Effects ◽  
Layer Flow

This paper elucidates heat together with mass transfer through a flat plate and variable temperature as well as dissipative effects. The flow assumptions resulted to steady flow equations which were simplified with appropriate similarity variables. The simplified equations were numerically solved and results are presented both in graphs and tabular form. Effects of physical quantities of interest were presented graphically. The local skin friction is observed to increase because of increase in Schmidt number. Also, increase in Prandtl number is found to boast the local Nusselt number. The behaviour of increase in Prandtl number is found to be unstable within the boundary layer regime while increase in Eckert number produces heat energy within the fluid layers. Finally, the validation of the present problem is done by comparing with previous works and was in perfect agreement.

NATURAL CONVECTION BOUNDARY LAYER FLOW PAST A FLAT PLATE OF FINITE DIMENSIONS

2012 ◽  
Vol 15 (6) ◽  
pp. 585-593
Author(s):  
M. Jana ◽  
S. Das ◽  
S. L. Maji ◽  
Rabindra N. Jana ◽  
S. K. Ghosh
Keyword(s):  
Boundary Layer ◽  
Natural Convection ◽  
Flat Plate ◽  
Boundary Layer Flow ◽  
Convection Boundary Layer ◽  
Flow Past ◽  
Convection Boundary ◽  
Layer Flow
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