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Vol.21, Special Issue, 2021, pp. S23–S28 |
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STABILITY AND CONVERGENCE OF IMPLICIT FINITE DIFFERENCE SCHEME FOR BIOHEAT TRANSFER EQUATION WITH CLOTHING EFFECT IN HUMAN THERMAL COMFORT K. Luitel1*, D.B. Gurung2, H. Khanal3, K.N. Uprety4 1) Bhaktapur Multiple Campus, Tribhuvan University, NEPAL 2) School of Science, Kathmandu University, NEPAL 3) Embry-Riddle Aeronautical University, Beach, Florida, USA 4) Central Department of Mathematics, Tribhuvan University, NEPAL *email: kabi123luitel@gmail.com
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Abstract This paper studies the stability and convergence of implicit Finite Difference (FD) scheme of the bioheat transfer model of Pennes’ type with the clothing effect at the boundary node. Robin’s boundary condition, in this study, incorporates the clothing insulation, effective clothing area factor in the combined heat transfer coefficient and observes their effects for the thermal comfort in the human body. Lemma and theorems for consistency, stability and convergence of FD scheme are established and the numerical results are graphically presented for validation of the model. Keywords: bioheat transfer, clothing effect, finite difference (FD) scheme, effective clothing area factor |
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