Free Convective Flowing Upon a Plate Embedded in a Penetrating Environment by Symmetry Groups

M Bhuvaneswari; S. Karthikeyan

doi:https://doi.org/10.14445/22315373/IJMTT-V66I11P514

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 11 | Year 2020 | Article Id. IJMTT-V66I11P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I11P514

Free Convective Flowing Upon a Plate Embedded in a Penetrating Environment by Symmetry Groups

M Bhuvaneswari, S. Karthikeyan

Abstract

An analytical approachby Lie’s theory is executed to study the naturally flowing of heat inducing liquid upon a region having some inclination which is partly infinite combined with a penetrating environment. Using scaling symmetries, PDE’s depicting the physical phenomenon, are reformed into a of ODE’s. The system thus evolved is numerically solved by applying IV order RK-scheme with the trajectory shoot method. The results obtained indicate that speed and warmth rise considerably as parameter S rises. Rising values of void fraction result in the rising speed and declining warmth.

Keywords

Heat generation, Inclined plate, Lie’s theory, Natural convection, Porous medium.

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Citation :

M Bhuvaneswari, S. Karthikeyan, "Free Convective Flowing Upon a Plate Embedded in a Penetrating Environment by Symmetry Groups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 11, pp. 148-153, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I11P514