International Journal of Technology

Dinesh Kumar ¹, Rajiv Aggarwal ², Mamta Jain ³

Affiliations
1 Shyama Prasad Mukherji College (For Women), University of Delhi, New Delhi, IN
2 Sri Aurobindo College, University of Delhi, New Delhi, IN
3 Bhagini Nivedita College, University of Delhi, New Delhi, IN

Abstract

This paper deals with the existence and stability of the libration points in the restricted-three body problem when the smaller primary is a finite straight segment and bigger primary is an oblate spheroid. We have observed that five libration points do exist in this problem, out of which three are collinear and two are non-collinear with the primaries. The collinear libration points are unstable for all values of mass parameter μ and the non-collinear libration points are stable if μ < μ_c, where μ_c is a critical value of mass parameter μ. The range of stability depends length of the finite straight segment and oblateness factor.

Keywords

Restricted Three-Body Problem, Libration Points, Stability, Finite Straight Segment, Oblate Spheroid.

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Khem Chand ¹, Dinesh Kumar ¹, K. D. Singh ²

Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-171005, IN
2 Department of Mathematics (ICDEOL), Himachal Pradesh University, Shimla-171005, IN

Abstract

An investigation of heat and mass transfer effect on incompressible chemically reacting, radiating and electrical conducting viscoelastic fluid through porous medium in porous vertical channel has been carried out. The magnetohydro dynamics (MHD) flow is assumed to be laminar and fully developed. A uniform magnetic field is applied in the direction perpendicular to the plane of the plates. The equations governing the flow are solved by perturbation technique. The velocity, temperature, concentration fields, coefficient of skin friction, rate of heat and mass transfer are evaluated numerically and discussed with the help of graphs and tables.

Keywords

Chemically Reacting, MHD, Porous Medium, Radiating, and Viscoelastic Fluid.

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