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Analytical study of heat and mass transfer in axisymmetric unsteady flow by ADM

Amin Hassanvand, Mojtaba Saei Moghaddam, M. Barzegar Gerdroodbary, Younes Amini

2021Journal of Computational & Applied Research in Mechanical Engineering (JCARME)35 citationsDOI

Abstract

Findings the solutions for heat and mass transfer problems is significant due to their applications in the science and engineering. In this study, Adomian decomposition method (ADM) is chosen as a robust analytical method for investigation of heat and mass transfer characteristics in a viscous fluid which is squeezed between parallel plates. In order to ensure the validation of results, the obtained results of ADM method are compared with the numerical (Runge-Kutta method) results and reasonable agreement was observed. These comparisons confirm that Adomian decomposition method is a powerful and reliable approach for solving this problem. Then, diverse governing parameters namely; the squeeze number, Prandtl number, Eckert number, Schmidt number and the chemical reaction parameter are comprehensively studied. Our findings reveal that Sherwood number rises as Schmidt number and chemical reaction parameter increases while it declines with growths of the squeeze number. Likewise, it can be found that Nusselt number enhances with rise of Prandtl number and Eckert number and it decreases when the squeeze number increases.

Topics & Concepts

Prandtl numberEckert numberSchmidt numberNusselt numberSherwood numberAdomian decomposition methodMass transferMathematicsMechanicsHeat transferFlow (mathematics)ThermodynamicsPhysicsMathematical analysisReynolds numberPartial differential equationTurbulenceHeat Transfer and OptimizationNanofluid Flow and Heat TransferRheology and Fluid Dynamics Studies
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