Thermal slip and homogeneous/heterogeneous reaction characteristics of second-grade fluid flow over an exponentially stretching sheet

2021 ◽  
pp. 095440892110641
Author(s):  
Aamir Abbas Khan ◽  
Muhammad Naveed Khan ◽  
Sohail Nadeem ◽  
Syed Modassir Hussain ◽  
Muhammad Ashraf
Keyword(s):  
Fluid Flow ◽  
Skin Friction ◽  
Heterogeneous Reaction ◽  
Second Grade ◽  
Thermal Slip ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Exponentially Stretching ◽  
Source Sink ◽  
Homogeneous Reactions

This paper deals with an unsteady magnetohydrodynamic two-dimensional second-grade fluid flow towards a permeable exponentially stretching surface with heterogeneous–homogeneous reactions. The nonuniform heat source/sink, thermal slip, and thermal radiation effect are also considered to analyze the thermal attributes. The modeled equations of motions are converted into nonlinear ordinary differential equations (ODEs) by suitable transformations. A MATLAB Bvp4c approach is employed for the numerical solution of ODEs. The outcomes of various parameters are scrutinized by graphs. The quantities of interests such as Nusselt number and the skin friction are presented and discussed. The resistance effects take place due to higher estimations of second-grade parameter, as a result, the velocity field declines. The temperature field raises with the increment of radiation parameter. The concentration of nanoparticles decaying when heterogeneous-homogeneous reactions become larger. Moreover, from the tabulated data, it is noticed the growing estimations of K and M boosts the coefficient of skin friction.

SECOND‐GRADE FLUID FLOW WITH POWER‐LAW HEAT FLUX AND A HEAT SOURCE

2013 ◽  
Vol 44 (8) ◽  
pp. 687-702 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir A. Shehzad ◽  
Muhammad Qasim ◽  
F. Alsaadi ◽  
Ahmed Alsaedi
Keyword(s):  
Heat Flux ◽  
Fluid Flow ◽  
Heat Source ◽  
Power Law ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Power Law Heat Flux

Stability analysis on dual solutions of second- grade fluid flow with heat and mass transfers over a stretching sheet

2021 ◽  
Vol 8 (2) ◽  
Author(s):  
D. Dey ◽  
R. Borah
Keyword(s):  
Fluid Flow ◽  
Stability Analysis ◽  
Lorentz Force ◽  
Drag Force ◽  
Dual Solutions ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Independent Case ◽  
Grade Fluid ◽  
Mass Transfers

Stability on dual solutions of second-grade fluid flow over a stretching surface with simultaneous thermal and mass diffusions has been studied. The fluid flow is governed by Lorentz force and energy dissipation due to viscosity. Lorentz force is generated due to the application of magnetic field along the transverse direction. In methodology, suitable similarity transformation and MATLAB built-in bvp4c solver technique have been adopted. Effects of some flow parameters are exhibited through figures and tables and a special emphasis is given on the existence of dual solutions. A stability analysis is executed to determine the stable and physically achievable solutions. For the laminar flow, the drag force on the surface for the time-independent case is reduced due to amplifying values of But, it enhances the drag force for the time-dependent case. This shows the effectiveness of the first solution (during steady case) over the unsteady case.

Similarity solution of second grade fluid flow over a moving cylinder

2021 ◽  
Author(s):  
Nadeem Abbas ◽  
M. Y. Malik ◽  
Sohail Nadeem ◽  
Shafiq Hussain ◽  
A. S. El-Shafa
Keyword(s):  
Boundary Layer ◽  
Fluid Flow ◽  
Differential Equations ◽  
Material Parameter ◽  
Second Grade ◽  
Physical Parameters ◽  
Stretching Cylinder ◽  
Second Grade Fluid ◽  
Moving Cylinder ◽  
Grade Fluid

Stagnation point flow of viscoelastic second grade fluid over a stretching cylinder under the thermal slip and magnetic hydrodynamics effects are studied. The mathematical model has been developed under the assumption of non-Newtonian viscoelastic fluid flow over a stretching cylinder by means of the boundary layer approximations. The developed model further reduced through the similarity transformations and constructs the model of nonlinear ordinary differential equations. The system of nonlinear differential equations is dimensionless and solved through the numerical technique bvp5c methods. The results of the physical parameters are found and interpreted in the form of tables and graphs. The velocity shows that the graph of curves enhances away from the surface when the values material parameter [Formula: see text] increase, which means the momentum boundary layer increases for enhancing the material parameter [Formula: see text]. The temperature gradient reduced due enhancing the values of material parameter [Formula: see text] because thermal boundary layer reduced for higher values of material parameter [Formula: see text].

Magnetized mixed convection second‐grade fluid flow adjacent to a lubricated vertical surface

Heat Transfer ◽  
2020 ◽  
Vol 49 (6) ◽  
pp. 3958-3978
Author(s):  
Manzoor Ahmad ◽  
S. A. Shehzad ◽  
Muhammad Taj ◽  
G. K. Ramesh
Keyword(s):  
Fluid Flow ◽  
Mixed Convection ◽  
Vertical Surface ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid

Nonstationary poiseuille-type solutions for the second-grade fluid flow

2012 ◽  
Vol 52 (2) ◽  
pp. 155-171 ◽  
Author(s):  
Neringa Klovienė ◽  
Konstantinas Pileckas
Keyword(s):  
Fluid Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid

scholarly journals Physical aspects of heat generation/absorption in the second grade fluid flow due to Riga plate: Application of Cattaneo-Christov approach

2018 ◽  
Vol 9 ◽  
pp. 955-960 ◽  
Author(s):  
Aisha Anjum ◽  
N.A. Mir ◽  
M. Farooq ◽  
M. Javed ◽  
S. Ahmad ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Heat Generation ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Riga Plate ◽  
Grade Fluid

scholarly journals Natural convection on heat transfer flow of non-newtonian second grade fluid over horizontal circular cylinder with thermal radiation

2016 ◽  
Vol 13 (1) ◽  
pp. 63-78 ◽  
Author(s):  
V. Ramachandra Prasad ◽  
R. Bhuvanavijaya ◽  
Mallikarjuna Bandaru
Keyword(s):  
Nusselt Number ◽  
Flow Velocity ◽  
Skin Friction ◽  
Deborah Number ◽  
Second Grade ◽  
Temperature Profiles ◽  
Radiation Parameter ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Horizontal Circular Cylinder

This article numerically studies for multi-physical transport of an optically-dense, free convective incompressible non-Newtonian second grade fluid past an isothermal, impermeable horizontal circular cylinder. The governing boundary layer equations for momentum and energy transport, which are parabolic in nature, have been reduced to non-similarity non-linear conservation equations using appropriate transformations and then solved numerically by employing with most validated, efficient implicit finite difference method with Keller box scheme. The numerical code is validated with previously existing results and found to be very good agreement. The results are reported graphically and in tabular form for various physical parameters; Deborah number, Prandtl number and thermal radiation on flow velocity and temperature profiles. Furthermore, the effects of these parameters on non dimensional wall shear stress (skin friction) and surface heat transfer rate (Nusselt number) are also investigated. Increasing the Deborah number reduces velocity profile, skin friction and Nusselt number where as it enhances the temperature profile. Increasing Prandtl number decelerates the flow velocity, temperature and skin friction but Nusselt number enhances considerably. Increase in radiation parameter retards the flow velocity, temperature profiles and skin friction. But Nusselt number enhances markedly with increase in radiation parameter. Applications of the model arise in polymer processing in chemical engineering, metallurgical material processing.

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