Significance of Stefan Blowing and Convective Heat Transfer in Nanofluid Flow Over a Curved Stretching Sheet with Chemical Reaction

2021 ◽  
Vol 10 (2) ◽  
pp. 285-291
Author(s):  
P. T. Manjunatha ◽  
Ali J. Chamkha ◽  
R. J. Punith Gowda ◽  
R. Naveen Kumar ◽  
B. C. Prasannakumara ◽  
...  
Keyword(s):  
Chemical Reaction ◽  
Stretching Sheet ◽  
Liquid Velocity ◽  
Mass Transfer Rate ◽  
Petroleum Industry ◽  
Newtonian Heating ◽  
Similarity Transformations ◽  
Blowing Parameter ◽  
The Mathematical Model ◽  
Derivatives Of

The applications of fluid flow with Newtonian heating effect include conjugate heat conveyance around fins, petroleum industry, and heat exchangers designing. Motivated from these applications, an attempt has been made to analyze the stream of viscous nanomaterial subjected to a curved stretching sheet. Also, heat and mass transport mechanism due to a chemical reaction, Brownian and thermophoresis motion are discussed. The equations of the mathematical model are formulated by considering the Newtonian heating and Stefan blowing conditions at the boundary. These modelled equations are then changed to a system of nonlinear equation involving ordinary derivatives of a function by means of suitable similarity transformations. Further, shooting technique with Runge-Kutta-Fehlberg-45 process is utilized to solve the reduced equations. Outcomes disclose that, the gain in Stefan blowing parameter escalates the liquid velocity. The intensification in chemical reaction rate parameter deteriorates the concentration gradient. The rise in Schmidt number and thermophoresis parameter drops the mass transfer rate. The increased values of Newtonian heating parameter with respect to thermophoresis parameter decays the heat transport rate.

scholarly journals Viscous dissipation and chemical reaction effects on MHD Casson nanofluid over a stretching sheet

2019 ◽  
Vol 15 (4) ◽  
pp. 585-592
Author(s):  
Kamatam Govardhan ◽  
Ganji Narender ◽  
Gobburu Sreedhar Sarma
Keyword(s):  
Differential Equations ◽  
Chemical Reaction ◽  
Shooting Method ◽  
Stretching Sheet ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Electrically Conducting Fluid ◽  
Layer Flow ◽  
The Mathematical Model

A numerical analysis was performed for the mathematical model of boundary layer flow of Casson nanofluids. Heat and mass transfer were analyzed for an incompressible electrically conducting fluid with viscous dissipations and chemical reaction past a stretching sheet. An appropriate set of similarity transformations were used to transform the governing partial differential equations (PDEs) into a system of nonlinear ordinary differential equations (ODEs). The resulting system of ODEs is solved numerically by using shooting method. A detailed discussion on the effects of various physical parameters and heat transfer characteristics was also included.

Radiation and heat source effects on MHD flow over a permeable stretching sheet through porous stratum with chemical reaction

2018 ◽  
Vol 14 (5) ◽  
pp. 1101-1114 ◽  
Author(s):  
K. Suneetha ◽  
S.M. Ibrahim ◽  
G.V. Ramana Reddy
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Heat Source ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Working Fluid ◽  
Content Type ◽  
Source Effects ◽  
Similarity Transformations

Purpose The purpose of this paper is to investigate the steady 2D buoyancy effects on MHD flow over a permeable stretching sheet through porous medium in the presence of suction/injection. Design/methodology/approach Similarity transformations are employed to transform the governing partial differential equations into ordinary differential equations. The transformed equations are then solved numerically by a shooting technique. Findings The working fluid is examined for several sundry parameters graphically and in tabular form. It is observed that with an increase in magnetic field and permeability of porous parameter, velocity profile decreases while temperature and concentration enhances. Stretching sheet parameter reduces velocity, temperature and concentration, whereas it increases skin friction factor, Nusselt number and Sherwood number. Originality/value Till now no numerical studies are reported on the effects of heat source and thermal radiation on MHD flow over a permeable stretching sheet embedded in porous medium in the presence of chemical reaction.

scholarly journals Effects of Chemical Reaction on Dissipative Radiative MHD Flow through a Porous Medium over a Nonisothermal Stretching Sheet

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
S. Mohammed Ibrahim
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Saturated Porous Medium ◽  
Mhd Flow ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Temperature Parameter ◽  
Layer Flow

The steady two-dimensional radiative MHD boundary layer flow of an incompressible, viscous, electrically conducting fluid caused by a nonisothermal linearly stretching sheet placed at the bottom of fluid saturated porous medium in the presence of viscous dissipation and chemical reaction is studied. The governing system of partial differential equations is converted to ordinary differential equations by using the similarity transformations, which are then solved by shooting method. The dimensionless velocity, temperature, and concentration are computed for different thermophysical parameters, namely, the magnetic parameter, permeability parameter, radiation parameter, wall temperature parameter, Prandtl number, Eckert number, Schmidt number, and chemical reaction.

Effect of Chemical Reaction on Maxwell Nanofluid Slip Flow over a Stretching Sheet

2018 ◽  
Vol 17 (1) ◽  
Author(s):  
B.C. Prasannakumara ◽  
M. Gnaneswara Reddy ◽  
M.V.V.N.L. Sudha Rani ◽  
M.R. Krishnamurthy
Keyword(s):  
Differential Equations ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Slip Flow ◽  
Maxwell Fluid ◽  
Nonlinear Thermal Radiation ◽  
Thermal Boundary Layer Thickness ◽  
Temperature Ratio ◽  
Similarity Transformations ◽  
Fifth Order

Abstract The main focus of the present study is to analyze the effect of chemical reaction and nonlinear thermal radiation on Maxwell fluid suspended with nanoparticles through a porous medium along horizontal stretching sheet. The governing partial differential equations of the defined problem are reduced into a set of nonlinear ordinary differential equations using adequate similarity transformations. Obtained set of similarity equations are then solved with the help of efficient numerical method fourth fifth order Runge-Kutta-Fehlberg method. The effects of different flow pertinent parameters on the flow fields like velocity, temperature, and concentration are shown in the form of graphs and tables. The detailed analysis of the problem is carried out based on the plotted graphs and tables. It is observed that an increase in the radiation parameter, temperature ratio parameter, Brownian motion parameter and thermophoretic parameter lead to increase in the thermal boundary layer thickness but quite opposite phenomenon can be seen for the effect of Prandtl number.

scholarly journals Chemically reacting on MHD boundary-layer flow of nanofluids over a non-linear stretching sheet with heat source/sink and thermal radiation

2018 ◽  
Vol 22 (1 Part B) ◽  
pp. 495-506 ◽  
Author(s):  
Oluwole Makinde ◽  
Fazle Mabood ◽  
Mohammed Ibrahim
Keyword(s):  
Boundary Layer ◽  
Heat Source ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Skin Friction Coefficient ◽  
Convective Boundary ◽  
Similarity Transformations ◽  
Non Linear ◽  
Linear Ode ◽  
Source Sink

In this paper, steady 2-D MHD free convective boundary-layer flows of an electrically conducting nanofluid over a non-linear stretching sheet taking into account the chemical reaction and heat source/sink are investigated. The governing equations are transformed into a system of non-linear ODE using suitable similarity transformations. Analytical solution for the dimensionless velocity, temperature, concentration, skin friction coefficient, heat and mass transfer rates are obtained by using homotopy analysis method. The obtained results show that the flow field is substantially influenced by the presence of chemical reaction, radiation, and magnetic field.

Chemical Reaction Effect on Forced Convection Flow of a Jeffery Fluid over a Stretching Sheet: A Numerical Study

2018 ◽  
Vol 16 ◽  
pp. 109-119
Author(s):  
A.K. Mishra ◽  
N. Senapati ◽  
S.R. Mishra ◽  
S. Bhattacharjee
Keyword(s):  
Differential Equations ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Numerical Study ◽  
Mhd Flow ◽  
Deborah Number ◽  
Convection Flow ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Similarity Transformations

The purpose of this paper is to investigate steady two-dimensional laminar magnetohydrodynamic (MHD) flow of an incompressible Jeffrey fluid past over a linearly stretching sheet. The governing partial differential equations (PDEs) of continuity, momentum, energy and concentration are transformed into nonlinear coupled ordinary differential equations (ODEs) by using similarity transformations. Then the ODEs are solved by applying Runge-Kutta fourth order method accompanied with shooting technique. The effects of various physical parameters characterizing the flow phenomenon including Deborah number, ratio of relaxation to retardation times, magnetic parameter, porous parameter, Prandtl number, Eckert number, heat source / sink parameter, Schmidt number and chemical reaction parameter on dimensionless velocity, temperature and concentration profiles are analyzed. The numerical results are obtained and presented in graphs. The present results are compared with the earlier published results as a particular case.

scholarly journals Dual solutions for unsteady flow of Powell-Eyring fluid past an inclined stretching sheet

2016 ◽  
Vol 13 (1) ◽  
pp. 89-99 ◽  
Author(s):  
P. M. Krishna ◽  
N. Sandeep ◽  
J. V. R. Reddy ◽  
V. Sugunamma
Keyword(s):  
Mass Transfer ◽  
Unsteady Flow ◽  
Friction Factor ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Transfer Rate ◽  
Stretching Sheet ◽  
Mass Transfer Rate ◽  
Dual Solutions ◽  
Source Sink

This paper deals with the heat and mass transfer in unsteady flow of Powell-Eyring fluid past an inclined stretching sheet in the presence of radiation, non-uniform heat source/sink and chemical reaction with suction/injection effects. The governing equations are reduced into system of ordinary differential equations using similarity transformation and solved numerically using Runge-Kutta based shooting technique. Results display the influence of governing parameters on the flow, heat and mass transfer, friction factor, local Nusselt and Sherwood numbers. Comparisons are made with the existed studies. Present results have an excellent agreement with the existed studies. Results indicate that an increase in the chemical reaction parameter depreciates the friction factor, heat transfer rate and enhances the mass transfer rate. Dual solutions exist only for certain range of suction/injection parameters.

scholarly journals 3D flow of Carreau polymer fluid over variable thickness sheet in a suspension of microorganisms with Cattaneo-Christov heat flux

2018 ◽  
Vol 64 (5) ◽  
pp. 519 ◽  
Author(s):  
P. Durga Prasad ◽  
S. V. K. Varma ◽  
C.S.K. Raju ◽  
Sabir Ali Shehzad ◽  
M.A. Meraj
Keyword(s):  
Mass Transfer ◽  
Chemical Reaction ◽  
Variable Thickness ◽  
Heat Sink ◽  
Transfer Rate ◽  
Liquid Velocity ◽  
Numerical Study ◽  
Source Parameters ◽  
Mass Transfer Rate ◽  
Thickness Sheet

Numerical study of three dimensional Carreau liquid flow with heat and mass transport features over a variable thickness sheet filled with microorganisms is analyzed. We considered the non-uniform heat sink or source and multiple slip effects. The governing non-linear partially differential expressions are developed into ordinary differential systems by using variable transformations. These expressions are solved numerically by using Runge-Kutta fourth order method connected with shooting methodology. A Parametric study is implemented to demonstrate the effects of Hartmann number, Prandtl number, Weissenberg number, Peclet number, chemical reaction and heat sink/source parameters on liquid velocity, temperature and concentration profiles. The quantities of physical interest are described within the boundary layer. From this analysis, we found that the magnetic parameter decrease the local Sherwood and local Nusselt numbers for both and cases. The constraint of chemical reaction enhances the mass transfer rate and decelerates the density of motile mass transfer rate. The space dependent and temperature dependent heat source/sink suppress the local Nusselt number.

Sign in / Sign up

Export Citation Format

Share Document