Double‐diffusive natural convective stream due to moving vertical plate with nonlinear thermal radiation and Newton's boundary constraint

Heat Transfer ◽  
2021 ◽  
Author(s):  
Mahantesh M. Nandeppanavar ◽  
M. C. Kemparaju ◽  
Raveendra Nagaraj
2017 ◽  
Vol 27 (12) ◽  
pp. 2858-2878 ◽  
Author(s):  
B.J. Gireesha ◽  
M. Archana ◽  
Prasannakumara B.C. ◽  
R.S. Reddy Gorla ◽  
Oluwole Daniel Makinde

Purpose This paper aims to deal with the study of heat and mass transfer on double-diffusive three-dimensional hydromagnetic boundary layer flow of an electrically conducting Casson nanofluid over a stretching surface. The combined effects of nonlinear thermal radiation, magnetic field, buoyancy forces, thermophoresis and Brownian motion are taken into consideration with convective boundary conditions. Design/methodology/approach Similarity transformations are used to reduce the governing partial differential equations into a set of nonlinear ordinary differential equations. The reduced equations were numerically solved using Runge–Kutta–Fehlberg fourth-fifth-order method along with shooting technique. Findings The impact of several existing physical parameters such as Casson parameter, mixed convection parameter, regular buoyancy ratio parameter, radiation parameter, Brownian motion parameter, thermophoresis parameter, temperature ratio parameter on velocity, temperature, solutal and nanofluid concentration profiles are analyzed through graphs and tables in detail. It is found that the solutal component increases for Dufour Lewis number, whereas it decreases for nanofluid Lewis number. Moreover, velocity profiles decrease for Casson parameter, while the Nusselt number increases for Biot number, radiation and temperature ratio parameter. Originality/value This paper is a new work related to three-dimensional double-diffusive flow of Casson nanofluid with buoyancy and nonlinear thermal radiation effect.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Mahantesh M. Nandeppanavar ◽  
Kemparaju M.C. ◽  
Raveendra N.

Purpose This paper aims to find the influence of convective heat transfer, buoyancy proportions, nonlinear thermal radiation, Prandtl number, Rayleigh number and Schmidt number on velocity, temperature and concentration profiles. Design/methodology/approach This paper explores the heat and mass transfer of a stagnation point stream of free convective Casson fluid over a moving vertical plate with nonlinear thermal radiation and convective boundary restrictions. The governing PDEs of stream, heat and concentration profiles were reformed into an arrangement of nonlinear ODEs by using similarity transformation. This framework was then tackled numerically by applying forth-order RK shooting strategy. Findings Distribution of flow, velocity and temperature profiles for different values of governing parameters are analyzed. Originality/value The original results are depicted in terms of plots.


2020 ◽  
Vol 18 (1) ◽  
pp. 85-93
Author(s):  
Mahantesh M. Nandeppanavar ◽  
Kemparaju M.C. ◽  
N. Raveendra

Purpose This paper aims to report the investigation of over heat and mass transfer of convective Casson fluid flow over a moving vertical plate with nonlinear thermal radiation and convective boundary conditions. Design/methodology/approach The main partial differential equations of the flow, heat and concentration profiles were rehabilitated to nonlinear ordinary differential equations by using an appropriate similarity transformation. The resultant nonlinear ordinary differential equations (ODEs) are solved numerically applying fourth-order Runge–Kutta shooting technique and functions of ODE45 from MATLAB. Findings The effect of convective heat transfer, buoyancy ratio parameter, nonlinear thermal radiation, Prandtl number, Rayleigh number and Schmidt number over velocity, temperature and concentration profiles, equivalent to abundant somatic parameters were graphically scrutinized. Originality/value All the results are very promising and further there is got good agreement of results when compared with earlier published results at limiting conditions.


2013 ◽  
Vol 16 (2) ◽  
pp. 167-182 ◽  
Author(s):  
Abdesslem Jbara ◽  
Hosni Souheil Harzallah ◽  
Khalifa Slimi ◽  
Abdallah Mhimid

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