Abstract

Entropy generation in bioconvection two-dimensional steady incompressible non-Newtonian Oldroyd-B nanofluid with Cattaneo–Christov heat and mass flux theory is investigated. The Darcy–Forchheimer law is used to study heat and mass transfer flow and microorganisms motion in porous media. Using appropriate similarity variables, the partial differential equations are transformed into ordinary differential equations which are then solved by homotopy analysis method. For an insight into the problem, the effects of various parameters on different profiles are shown in different graphs.

Highlights

  • Thermoelectric devices are utilized in a wide variety of applications related to solid-state power generation and refrigeration

  • This law provides the information to describe the relationship between thermal energy and other forms of energy which refers to the fluid friction, heat transfer, and different types of effects on fluid movements with heat and mass transfer

  • Cattaneo–Christov heat and mass flux theory is followed for heat and mass transfer carrying the Brownian motion, thermophoresis, and viscous dissipation

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Summary

Introduction

Thermoelectric devices are utilized in a wide variety of applications related to solid-state power generation and refrigeration. Over the past several years, many new materials have been investigated for their use as thermoelectric materials. The second law of thermodynamics can be used to determine the irreversibility of the thermal systems. This law provides the information to describe the relationship between thermal energy and other forms of energy which refers to the fluid friction, heat transfer, and different types of effects on fluid movements with heat and mass transfer. Lebon et al.[2] investigated heat wave propagation in rigid bodies by proposing two innovations that are departing from the linear approach employing Cattaneo’s relation, and absenting the extra variables but re-normalizing the expressions of the fluxes

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