Study of a nonuniform heat source over a Riga plate using n th‐order chemical reaction on Oldroyd‐B nanofluid flow for two‐dimensional motion

Heat Transfer ◽  
2021 ◽  
Author(s):  
S. R. Mishra ◽  
Seema Tinker ◽  
Ram Prakash Sharma
Author(s):  
Kalidas Das ◽  
Tanmoy Chakraborty ◽  
Prabir Kumar Kundu

In this study, heat and mass transfer characteristics of the magnetohydrodynamic nanofluid flow over a radiating nonlinear permeable stretching surface are studied. The flow considered here is under both the hydrodynamic and thermal slip conditions in presence of first-order chemical reaction. The resulting governing equations are transformed into a system of nonlinear ordinary differential equations by applying a suitable similarity transformation and then solved numerically. A parametric study, of the physical parameters, is conducted and a representative set of numerical results for the skin friction coefficient, the Nusselt number and the local Sherwood number are tabulated. Graphical results for dimensionless temperature, velocity and concentration are presented and discussed in details from the physical point of view.


2020 ◽  
Vol 50 (4) ◽  
pp. 283-289
Author(s):  
S. Jena ◽  
S. R. Mishra ◽  
P.K. Pattnaik ◽  
Ram Prakash Sharma

This paper deals with nanofluid flow between parallel plates and heat transfer through porous media with heat source /sink. The governing equations are transformed into self-similar ordinary differential equations by adopting similarity transformations and then the converted equations are solved numerically by Runge-Kutta fourth order method. Special emphasis has been given to the parameters of physical interest which include Prandtl number, magnetic parameter, porous matrix, chemical reaction parameter and heat source parameter. The results obtained for velocity, temperature and concentration are shown in graphs. The comparison of the special case of this present results with the existing numerical solutions in the literature shows excellent agreement.


2019 ◽  
Vol 15 (3) ◽  
pp. 630-658 ◽  
Author(s):  
Nilankush Acharya ◽  
Kalidas Das ◽  
Prabir Kumar Kundu

Purpose The purpose of this paper is to focus on the influence of multiple slips on MHD Williamson nanofluid flow embedded in porous medium towards a linearly stretching sheet that has been investigated numerically. The whole analysis has been carried out considering the presence of nth-order chemical reaction between base fluid and nanoparticles. Design/methodology/approach A similarity transformation technique has been adopted to convert non-linear governing partial differential equations into ordinary ones and then they are solved by using both the RK-4 method and Laplace transform homotopy perturbation method. The consequences of multiple slip parameters on dimensionless velocity, temperature and concentration and heat and mass transfer rates have been demonstrated using tabular and graphical outline. Findings The investigation explores that the Nusselt number reduces for escalating behaviour of velocity slip and thermal slip parameter. Fluid’s temperature rises in the presence of generative reaction parameter. Originality/value A fine conformity of the current results has been achieved after comparing with previous literature studies. Considering destructive chemical reaction, reduced Nusselt number is found to decrease, but reverse consequence has been noticed in the case of generative chemical reaction. Mass transport diminishes when the order of chemical reaction amplifies for both destructive and generative reactions.


Author(s):  
Mohamed R Eid ◽  
Fazle Mabood ◽  
Kasseb L Mahny

In this paper, the boundary layer analysis of three-dimensional Prandtl nanofluid flow over a convectively heated sheet in a porous material is addressed. Nonlinear radiation and high-order chemical reaction analysis are featured in this work. Nonlinear differential equations representing flow expressions are numerically solved by shooting technique. Features of Brownian motion and thermophoresis accounting for nanoparticle diffusion are taken into account. Then, a complete discussion of the influences of the flow regime on several thermofluidic parameters is presented. The outcome of the present study is that velocity field lines are grown due to the strengthening of Prandtl fluid numbers [Formula: see text] and [Formula: see text] while a reverse trend takes place for temperature profile. Furthermore, it is shown that when the magnetic strength is improved, the skin friction coefficient and heat transfer rate triggers considerable evolution. The obtained results of this model closely match with those available in the literature as a limiting situation.


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