Litcius/Paper detail

Thermal and mass stratification effects on unsteady parabolic flow past an infinite vertical plate with exponential decaying temperature and variable mass diffusion in porous medium

Rupam Shankar Nath, Rudra Kanta Deka

2024ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik12 citationsDOIOpen Access PDF

Abstract

Abstract This study looks at how thermal and mass stratification affect the unsteady parabolic flow past an infinite vertical plate with exponentially decaying temperature and variable mass diffusion in a porous medium. The Laplace transform method is applied to solve the governing equations for flow, energy, and mass diffusion. The effects of the both stratification on the flow field, temperature, and mass diffusion are then investigated. The research suggests that the existence of thermal and mass stratification has a considerable influence on the profiles of velocity, temperature, and mass diffusion. It is also found that a stable state is reached for the velocity when both stratification parameters are increased, while stable states are reached for the temperature and concentration when the mass stratification is increased but the thermal stratification is decreased.

Topics & Concepts

Stratification (seeds)Laplace transformThermal stratificationMechanicsPorous mediumThermalThermal diffusivityMass flowExponential growthMaterials sciencePorosityThermodynamicsMathematicsPhysicsMathematical analysisTurbulenceComposite materialBotanyGerminationSeed dormancyBiologyDormancyAdvanced Mathematical Modeling in EngineeringNanofluid Flow and Heat TransferLattice Boltzmann Simulation Studies