Finite element analyses of nonlinear DPL bioheat model in spherical tissues using experimental data
Tareq Saeed, Ibrahim A. Abbas
Abstract
Based on the non-linear dual phase lag model, the present investigation treats with mathematical models of bioheat transfer to study the transient phenomena in a spherical tissue due to the effect of laser heat source. Caused by the nonlinear basic equations, the finite element method is adopted to get the solutions of this problem. To verify the accuracy of the numerical solutions, the numerical results obtained by the finite element method are compared with the experimental data. Also, the comparison between the experimental results and the numerical results display that the existing mathematical model is efficacious tool to estimate the bio-heat model in the spherical biological tissues.
Topics & Concepts
Finite element methodNonlinear systemTransient (computer programming)Bioheat transferExperimental dataMechanicsBiological tissueApplied mathematicsPhase (matter)MathematicsHeat transferMaterials scienceMathematical analysisComputer sciencePhysicsThermodynamicsOpticsQuantum mechanicsOperating systemStatisticsThermoelastic and Magnetoelastic PhenomenaHeat Transfer MechanismsNanofluid Flow and Heat Transfer