Application of half order d [1/2] {t} riemann livollie fractional derivative to diffusion equation for ground heat conduction due to time dependent function.
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Date
2020
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UMT Lahore
Abstract
Ground heat flux is significant physical factor first and for most because of its role in surface energy balances. analysis of atmospheric boundary layer, land surface and atmosphere interaction, direct measurement of them is difficult due to lack of standardization. due to lack of direct measuring devices for adequate calibration ,for determination of proper depth for probes, upward water migration and accumulation of below measuring plates and due to lack of understanding of thermal process happening in the ground heat flux, indirectly from known ground surface temperature time dependent function by using previously developed diffusion heat flux equations. ground surface heat flux temperature is calculated by two methods, firstly by classical approach and then results were verified by fractional approach. through the analysis of both the methods, we came to know that fractional approach closely correspond to the analytical solution of the problem.