A STUDY ON SOME APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS IN HEAT TRANSFER
SHEHU SIDI ABUBAKAR *
Department of Mathematics and Statistics, Umaru Ali Shinkafi Polytechnic, Sokoto, Nigeria.
MANIRU IBRAHIM
Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria.
NURA ABUBAKAR
Department of Mathematics and Statistics, Umaru Ali Shinkafi Polytechnic, Sokoto, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Several physical phenomena in engineering and sciences could be described using the concept of partial differential equations PDEs. The aim of this research is to investigate some applications of partial dierential equations in heat transfer. The study looked into heat flow problems with the application of partial dierential equations and presented a good explanation of the concept as well as classication of PDE. The work showed that both one dimensional and two dimensional heat flow can best be modelled using partial differential equations.
Keywords: Partial differential equation, one dimensional heat flow, two dimensional heat flow, heat transfer