Boundary Layer Flow in the Vicinity of the Forward Stagnation Point of the Spinning and Translating Sphere
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KUMAR, Indeewar. Boundary Layer Flow in the Vicinity of the Forward Stagnation Point of the Spinning and Translating Sphere. In: Conference on Applied and Industrial Mathematics: CAIM 2017, 14-17 septembrie 2017, Iași. Chișinău: Casa Editorial-Poligrafică „Bons Offices”, 2017, Ediţia 25, pp. 6-7. ISBN 978-9975-76-247-2.
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Conference on Applied and Industrial Mathematics
Ediţia 25, 2017
Conferința "Conference on Applied and Industrial Mathematics"
Iași, Romania, 14-17 septembrie 2017

Boundary Layer Flow in the Vicinity of the Forward Stagnation Point of the Spinning and Translating Sphere


Pag. 6-7

Kumar Indeewar
 
Manipal University Jaipur
 
 
Disponibil în IBN: 22 septembrie 2022


Rezumat

Exact solutions are important not only in its own right as solution of particular ows, but also serve as accuracy check for numerical solution. Exact solution of the Navier-Strokes equation are, for example, those of steady and unsteady ows near a stagnation point, Stagnation pointows can either be viscous or inviscid, steady or unsteady, two dimensional or three dimensional, normal or oblique and forward or reverse. The classic problems of two dimensional and three dimensional stagnation point ow are associated with the names of Hiemenz and Homan A novel radial stagnation point ow impinging axi symmetrically on a circular cylinder was reported by Wang. The present paper deals with the laminar boundary layer ow and heat transfer in the stagnation region of a rotating and translating sphere with uniform magnetic elds. The governing equations of ow are derived for  = 0(t = 0) and  = 1(t ! 1) and solutions in the closed form are obtained. The temperature and velocity elds for  = 0 are numerically computed. This shows that the thermal boundary layer thickness decreases as Prandtl number Princreases.The surface heat transfer (28) increases with the Prandtl number Pr. The surface heat transfer (28) at the starting of motion is found to be strangely dependent on the Prandtl number Pr. But it is dependent of magnetic eld, buoyancy force Bp and Rotation Parameter Ro.

Cuvinte-cheie
Temperature field, velocity field, uniform magnetic field, buoyancy force, Rotation Parameter