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Mathematical modeling of first to third degree burn injury by sinusoidal heating source

Rai K. N., Srivastava V.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 2

489-500

The object of this study is to provide a generalized mathematical model of burn injury due to a sinusoidal heat source at the skin surface. An application of double Fourier cosine transform is applied to convert this problem into a boundary value problem of ordinary differential equations. The solution thus obtained is transferred into a standard form with the help of the inverse discrete Fourier cosine transform. Finally, the numerical results obtained for the distribution of temperature in different layers of the skin during burn injury are discussed and displayed graphically.