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- W2922070972 abstract "When a finite slab at a initial temperature is suddenly brought in contact with a fluid at a higher temperature at either of its ends, the transient temperature profile using the modified Fourier expression for heat conduction with upto the second derivative in time is included is obtained . The method of separation of variables was used. It is shown that for any λ, the contributions to alll the terms in the infinite series is periodic in time domain. This is achieved by using Vieta’s substitution to solve the depressed cubic equation. The depressed cubic is obtained after a u = Wexp(-nτ) supposition. Further for CWT boundary condition in a semi-infinite medium the space average heat flux is shown to be periodic in time by the method of Lapalce transforms. So for a semi-infinite medium at CWT the governing equation is solved by the method of complex temperatures and the transient temperature profile found to be; u = exp(-GX) Cos(HX + τ))/ Cos(τ), where G and H are given in equations(51) and (46)." @default.
- W2922070972 created "2019-03-22" @default.
- W2922070972 creator A5089062347 @default.
- W2922070972 date "2003-03-01" @default.
- W2922070972 modified "2023-09-23" @default.
- W2922070972 title "Finite Speed Heat Conduction - Xvi Transient Temperature Profile Represented by Third Order Pde" @default.
- W2922070972 hasPublicationYear "2003" @default.
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