Heat Transfer in the Laminar Boundary Layer Over an Impulsively Started Flat Plate

1975 ◽  
Vol 97 (3) ◽  
pp. 482-484 ◽  
Author(s):  
C. B. Watkins
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Laminar Flow ◽  
Flat Plate ◽  
Constant Temperature ◽  
Laminar Boundary Layer ◽  
Temperature Difference ◽  
Thermal Boundary Layer ◽  
Numerical Solutions ◽  
Prandtl Numbers

Numerical solutions are described for the unsteady thermal boundary layer in incompressible laminar flow over a semi-infinite flat plate set impulsively into motion, with the simultaneous imposition of a constant temperature difference between the plate and the fluid. Results are presented for several Prandtl numbers.

Study of Some Contemporary Laminar Flow Models Over a Flat Plate Using Maple

2008 ◽  
Author(s):  
Abdul Aziz
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Laminar Boundary Layer ◽  
Numerical Solutions ◽  
Nonlinear Differential Equations ◽  
Slip Flow ◽  
Moving Plate ◽  
Flow Models ◽  
Layer Flow ◽  
Energy Equations

The paper uses a modern computing tool, Maple, to study some contemporary problems in laminar boundary layer flow over a flat plate. The purpose is to demonstrate that Maple is a powerful computational tool for solving realistic contemporary problems in laminar boundary layer theory. The specific problems (all pertaining to a flat plate) chosen for this study are (1) hydrodynamic boundary layer with slip flow condition, (2) velocity boundary layer on a moving plate, (3) hydrodynamic and thermal boundary layers with a linear shear flow. Each problem is of contemporary interest and allows a similarity analysis which reduces the continuity, momentum, and energy equations into ordinary nonlinear differential equations. Numerical solutions of these equations are generated and physical interpretations of the results provided. Maple worksheets for solving each problem are available from the author upon request. It is shown that the effort required to solve these problems with Maple is modest, consisting of few lines of easily learned commands. The use of Maple facilitates and enriches the study of laminar boundary flows in general.

Numerical Simulation of Laminar Boundary Layer Flow Over a Horizontal Flat Plate in External Incompressible Viscous Fluid

2021 ◽  
Author(s):  
Ali Belhocine ◽  
Nadica Stojanovic ◽  
Oday Ibraheem Abdullah
Keyword(s):  
Boundary Layer ◽  
Laminar Flow ◽  
Flat Plate ◽  
Laminar Boundary Layer ◽  
Boundary Layer Flow ◽  
Solution Procedure ◽  
Dimensionless Temperature ◽  
Plane Plate ◽  
Fluid Properties ◽  
Layer Flow

In this paper, steady laminar boundary layer flow of a Newtonian fluid over a flat plate in a uniform free stream was investigated numerically when the surface plate is heated by forced convection from the hot fluid. This flow is a good model of many situations involving flow over fins that are relatively widely spaced. All the solutions given here were with constant fluid properties and negligible viscous dissipation for two-dimensional, steady, incompressible laminar flow with zero pressure gradient. The similarity solution has shown its efficiency here to transform the governing equations of the thermal boundary layer into a nonlinear, third-order ordinary differential equation and solved numerically by using 4th-order Runge-Kutta method which in turn was programmed in FORTRAN language. The dimensionless temperature, velocity, and all boundary layer functions profiles were obtained and plotted in figures for different parameters entering into the problem. Several results of best approximations and expressions of important correlations relating to heat transfer rates were drawn in this study of which Prandtl’s number to the plate for physical interest was also discussed across the tables. The same case of solution procedure was made for a plane plate subjected to other thermal boundary conditions in a laminar flow. Finally, for the validation of the treated numerical model, the results obtained are in good agreement with those of the specialized literature, and comparison with available results in certain cases is excellent.

Magnetohydrodynamic Effects Upon Heat Transfer for Laminar Flow Across a Flat Plate

1960 ◽  
Vol 82 (2) ◽  
pp. 87-93 ◽  
Author(s):  
R. D. Cess
Keyword(s):  
Heat Transfer ◽  
Laminar Flow ◽  
Flat Plate ◽  
Free Stream ◽  
Frictional Heating ◽  
Convection Heat Transfer ◽  
Constant Heat Flux ◽  
Stream Velocity ◽  
Electrically Conducting ◽  
Prandtl Numbers

Forced-convection heat transfer for laminar flow of electrically conducting fluids across a flat plate is considered for a magnetic field of constant inductance acting normal to the free stream velocity and fixed relative to the plate. The boundary condition on the surface of the plate is taken to be either a constant temperature or constant heat flux, and solutions are presented for the following cases: (a) Fluids having a Prandtl number of unity for which both Joule heating and frictional heating are accounted for; (b) fluids having moderate and large Prandtl numbers for negligible Joule and frictional heating; and (c) fluids having low Prandtl numbers for negligible frictional heating.

Heat Transfer Across a Linearly Accelerated or Decelerated Laminar Boundary Layer

1965 ◽  
Vol 87 (3) ◽  
pp. 403-408 ◽  
Author(s):  
A. R. Bu¨yu¨ktu¨r ◽  
J. Kestin
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Laminar Boundary Layer ◽  
Free Stream ◽  
Frictional Heat ◽  
Stream Velocity ◽  
Transfer Rates ◽  
Boundary Layer Equations ◽  
Constant Coefficients ◽  
Prandtl Numbers

The paper presents solutions to the boundary-layer equations for heat-transfer rates into an accelerated and decelerated boundary layer in the presence of a linearly varying free-stream velocity. The equations are solved for the case of constant coefficients with frictional heat neglected, but over a range of Prandtl numbers.

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