On The Mixed Boundary Value Problem Of Steady State Heat Conduction In A Domain Formed By Cementing Two Plano-Convex Solids

AUTHOR AND
AFFILIATION

ANJANA SINGH and P.K. MATHUR

KEYWORDS:

45A05 Linear integral equation, 45B05 Fredholm integral equation, 45F10 Dual integral equations

Issue Date:

April 2013

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.25 – No.1

PDF

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DOI:

jusps-A

ABSTRACT:

The contact problem of two conducting plano-convex solids having different conductivities is considered assuming that steady state heat conduction takes place. The problem is formulated so as to involve a pair of dual integral equations having Legendre functions with complex index. These equations are reduced to a single integral equation which is then solved iteratively. Lastly, the quantities of physical interest are found out.

Copy the following to cite this Article:

ANJANA SINGH and P.K. MATHUR, “On The Mixed Boundary Value Problem Of Steady State Heat Conduction In A Domain Formed By Cementing Two Plano-Convex Solids”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016


Copy the following to cite this URL:

ANJANA SINGH and P.K. MATHUR, “On The Mixed Boundary Value Problem Of Steady State Heat Conduction In A Domain Formed By Cementing Two Plano-Convex Solids”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/280/


The contact problem of two conducting plano-convex solids having different conductivities is considered assuming that steady state heat conduction takes place. The problem is formulated so as to involve a pair of dual integral equations having Legendre functions with complex index. These equations are reduced to a single integral equation which is then solved iteratively. Lastly, the quantities of physical interest are found out.