VARIATIONAL PRINCIPLE FOR REYNOLD’S NUMBER IN CASE OF STRATIFIED FLUID
1. DR VIVEK PARKASH, Dyal Singh College, Assistant Professor, India
Work done in this paper guides us to find out the relation involving Reynold’s number for modes of nonoscillatory nature using calculus of variations under the assumption that fluid under discussion is having
different layers passing through matter having pores. These relations help in stability problems, water
waves propagation, rarefied gas flow problems and optimizing thrust from exhaust nozzles. While deriving
the relations, we consider the moving fluid under the impact of heat and magnetizing force.
Chandrasekhar Number Eigen value Pressure Gradient Oscillatory Modes
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1. [1]Dunwoody, N.T.(1964) Instability of a viscous fluid of variable density in a magnetic field. J. Fluid Mech. 20, 103-113. [2]Khare, H.C. and Sahai,A.K.(1992 1993&1994) Thermosolutal convection in a heterogeneous fluid layer in the porous medium in the presence of the magnetic field and rotation. I: Proc. Nat. Acad. Sci. India, 62 (A), IV, 673-88. II: Ind. J. Engg. Sci. 31 (11), 1507-1517.III: Ind. Math. Soci. 60, 247-265. [3]Chandrasekhar,S.( 1968) Hydrodynamic and hydromagnetic stability, Clarendon Press Oxford, Oxford University Press, London. [4]Murthy, S., Narasimha and Trimmarayappl,H.M.(1989) Stability of rotating heterogeneous shear flow. J. Math & Phy. Sci. 23, 57.
This paper is author's own work.
No funding support for the paper.
No Conflict of Interest regarding this paper.
I acknowledge the support of family members
yes it will be shared as per the requirement.