Irreversibility Analysis of a Radiative MHD Poiseuille Flow through Porous Medium with Slip Condition

In this article, irreversibility analysis of thermal radiation with slip condition on MHD Poiseuille flow through porous medium is investigated. The upper and lower walls are kept constant with the same temperature. The radiative heat flux in the energy equation is assumed to follow Roseland approximation. Semi-analytical solutions of the non-linear boundary value problems obtained from the governing equations is constructed using Adomian decomposition method, and the effects of some fluid parameters on fluid motion, temperature, entropy generation and Bejan number are presented

Effects of radiation on a chemically reacting flow with hydrolysis

Abstract: This study focuses on modeling of heat and fluid flow with a chemical reaction in the hydrolysis step of the Copper-Chlorine (Cu-Cl) cycle. The thermochemical Cu-Cl cycle has been established as a promising method of sustainable hydrogen production because of its low heat requirement relative to the other hydrogen production cycles. There have been several studies on the heat and mass transfer of hydrolysis reactors to better understand their relative roles and optimize the overall cycle efficiency. Few or no past studies have examined the effect of radiation during the process. This study presents a semi-analytical model to study the effects of thermal radiation on the laminar boundary layer with a similarity solution in the presence of a chemical reaction. A similarity transformation is used to convert the governing partial differential equations to ordinary differential equations. The numerical method of solution is based on the shooting method with a Runge-Kutta iteration scheme. A Rosseland approximation is utilized to study thermal radiation and numerical simulations are conducted for cases with and without radiation. Past studies indicate that the presence of thermal radiation thickens the boundary layer and broaden the temperature distribution. This concept is studied and extended to the hydrolysis step of thermochemical hydrogen production in this paper. The model is first validated by a previously established system of equations and then extended to report the effects of radiation on the temperature gradient and concentration gradient in the boundary layer during the hydrolysis process. Sensitivity analysis is performed to report the influence of radiation and chemical reaction parameter in detail. A better understanding of the effects of thermal radiation in the flow with chemical reaction will be useful to improve the design of the hydrolysis reactor in the thermochemical cycle of hydrogen production and improve the overall cycle efficiency.Communication présentée lors du congrès international tenu conjointement par Canadian Society for Mechanical Engineering (CSME) et Computational Fluid Dynamics Society of Canada (CFD Canada), à l’Université de Sherbrooke (Québec), du 28 au 31 mai 2023

Thermodynamics Analysis of Radiative Hydromagnetic Couple Stress Fluid through a Channel

This work applies second law of thermodynamics to analyse the effect of radiation on electrically conducting couple stress fluid through a channel. A constant magnetic field is introduced across the flow channel and the resulting Navier- Stokes and energy equations are non-dimensionalized and solved using Adomian decomposition method (ADM) and differential transform method (DTM). The obtained velocity and temperature profiles are used to calculate the entropy generation rate and irreversibility ratio. The effects of radiation, magnetic field and couple stress parameters on the velocity, temperature, entropy generation rate and Bejan number are discussed with the aid of graphs. From the study, it is observed that increase in magnetic field and couple stress parameters reduces the fluid velocity while an increase in radiation parameter reduces the temperature of the fluid. Furthermore, radiation parameter increases entropy generation as heat transfer dominates irreversibility

Joule Heat Parameter Effects on Unsteady MHD flow Over a Stretching Sheet with Viscous Dissipation and Heat source

In the present investigation, we studied the effects of heat source and Joule heating parameter on unsteady magneto-hydro-dynamic and heat transfer of a fluid flow over a radiating stretching sheet. The governing partial differential equations of nonlinear with boundary conditions are solved numerically by implicit finite difference method with Gauss Seidel iteration scheme. The obtained numerical solutions of velocity and temperature profiles are discussed and represented graphically. The effects of various parameters on the velocity and temperature profiles are shown graphically and numerical values of physical quantities such as the skin friction coefficient and the local Nusselt number are presented in tabular form

Effect of Thermal Radiation on the Entropy Generation of Hydromagnetic Flow Through Porous Channel

In this study, effect of thermal radiation on the entropy generation rate of a hydromagnetic incompressible viscous flow through porous channel has been studied. The governing equations are formulated, non-dimensionalized and solved by Adomian decomposition and Differential Transform methods. The obtained velocity and temperature profiles are used to compute the entropy generation rate and Bejan number. The influence of various flow parameters on the velocity, temperature, entropy generation rate and Bejan number are discussed graphicall

Theoretical Investigation of Magnetohydrodynamic Radiative Non-Newtonian Fluid Flow over a Stretched Surface

The aim of this study is to investigate the heat and mass transfer in magnetohydrodynamic Newtonian and non-Newtonian fluid flow over a stretched domain in the presence of thermal radiation, chemical reaction, Soret and Dufour effects. In addition to this, we also considered the aligned magnetic field (i.e. the magnetic field applied at different angles) along the flow direction and dual solutions are executed for the transverse and aligned magnetic field cases. The governing system of equations is transformed as the system of ODEs with the help of suited similarity transforms. The resulting equations are solved numerically with the aid of the shooting process. The graphical and tabular results are explored to discuss the flow, thermal and concentration behavior along with the heat and mass transfer rate. Keywords: MHD, Aligned Magnetic field, Soret and Dufour effects, Radiation, Chemical reaction

Effects of heat source/sink, radiation and work done by deformation on flow and heat transfer of a viscoelastic fluid over a stretching sheet

AbstractThis paper presents a study of the flow and heat transfer of an incompressible homogeneous second-grade fluid over a non-isothermal stretching sheet. The governing partial differential equations are converted into ordinary differential equations by a similarity transformation. The effects of viscous dissipation, work due to deformation, internal heat generation/absorption and thermal radiation are considered in the energy equation, and the variations of dimensionless surface temperature and dimensionless surface temperature gradient as well as the heat transfer characteristics with various physical parameters are graphed and tabulated. Two cases are studied, namely, (i) a sheet with prescribed surface temperature (PST case) and (ii) a sheet with prescribed heat flux (PHF case)

Mathematical Analysis of a Magnetic and Conducting Fluid Flow through Blood Vessel Along with an Inclination and Chemical Reaction

This research paper presents a theoretical investigation of the combined effects of chemical reaction and heat source on blood flow via a tapered vessel in the presence of angle of inclination and magnetohydrodynamics. The continuity, momentum and concentration equations are used to model the proposed problem in terms of nonlinear partial differential equations. These equations along with the initial and boundary conditions is made dimensionless and then solved numerically using power series method. The computational results are presented graphically for the blood velocity, temperature, and concentration distributions in terms of the different parameter values used in this analysis. The study shows that the existence of the controlling parameters significantly impacts the characteristics of the flow.&nbsp