INTEGRAL TRANSFORM SOLUTION OF THE LAMINAR THERMAL BOUNDARY LAYER PROBLEM FOR FLOW PAST TWO-DIMENSIONAL AND AXISYMMETRIC BODIES

The solution of the constant-property thermal boundary layer equations, in the primitive variables formulation, for flow past a circular cylinder and past a sphere, is obtained by application of the generalized integral transform technique (CITT), using a diffusion-type eigenvalue problem. The bound...

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Bibliographic Details
Published inNumerical heat transfer. Part A, Applications Vol. 33; no. 7; pp. 779 - 797
Main Authors Bolivar, Manuel A. H., Cotta, Renato M., Lage, Paulo L. C.
Format Journal Article
LanguageEnglish
Published London Taylor & Francis Group 01.05.1998
Taylor & Francis
Subjects
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar boundary layers
Laminar flows
Physics
Temperature distribution
Digital simulation
Thermal boundary layer
Numerical method
Velocity distribution
Spheres
Axial symmetry
Integral transformations
Laminar flow
Axisymmetric configuration
Circular cylinder
Stagnation point flow
Revolving body
Heat transfer
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Summary:The solution of the constant-property thermal boundary layer equations, in the primitive variables formulation, for flow past a circular cylinder and past a sphere, is obtained by application of the generalized integral transform technique (CITT), using a diffusion-type eigenvalue problem. The boundary condition at infinity was imposed at a finite but far enough distance from the surface. It was possible to achieve accurate results for the velocity and temperature profiles, separation points, and Nusselt numbers. The GITT was also used to solve the momentum equation for the front stagnation point flow, and very accurate results were obtained for low truncation orders.
ISSN:1040-7782
1521-0634
DOI:10.1080/10407789808913966