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Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium

Himangshu Kumar, Rudra Kanta Deka

2023East European Journal of Physics18 citationsDOIOpen Access PDF

Abstract

This study looks at how thermal and mass stratification affect the unsteady flow past an infinitely fast-moving vertical plate when the temperature is changing and there is exponential mass diffusion in a porous medium. By applying the Laplace transformation method, we determine the solutions to the equations that govern the system for the case of unitary Prandtl and Schmidt numbers. Graphical representations of the concentration, temperature, and velocity profiles, as well as the Nusselt Number, Sherwood number, and the Skin friction are provided to facilitate discussion of the cause of the different variables. To see the effects of thermal and mass stratification on the fluid flow, we compare the classical solution (Fluid with out stratification) with the primary solution (Fluid with the stratification) by using graph. The combined effects of the two stratification lead to a quicker approach to steady states. The outcomes can be helpful for heat exchange design and other engineering applications.

Topics & Concepts

Stratification (seeds)Nusselt numberMechanicsSherwood numberPorous mediumPrandtl numberSchmidt numberFluid dynamicsLaplace transformMass transferThermodynamicsMathematicsMaterials scienceHeat transferPhysicsPorosityMathematical analysisReynolds numberTurbulenceBotanyComposite materialBiologyDormancyGerminationSeed dormancyNanofluid Flow and Heat TransferHeat Transfer and OptimizationHeat and Mass Transfer in Porous Media
Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium | Litcius