A Simulation of Nonlinear Thermally Radiative Hydrodynamic Stagnation Point Flow of Nanomaterial in View of a Stretchable Surface

2021 ◽  
Author(s):  
Haroon Ur Rasheed ◽  
Saeed Islam ◽  
Zeeshan Khan ◽  
Waris Khan
Keyword(s):  
Stagnation Point ◽  
Numerical Technique ◽  
Mass Conservation ◽  
Transverse Magnetic ◽  
Mathematical Framework ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Differential Flow ◽  
Viscoelastic Nanofluid ◽  
Flow Laws

Abstract This article aims to explore the mathematical and computational communication of transverse magnetic field interaction to stagnation point viscoelastic nanofluid flow over convectively heated stretching surface accompanied with a heat source, magnetohydrodynamics, and viscous dissipation. The mathematical framework is established for mass conservation, momentum, energy conservation, and concentration of nanoparticles is implemented. The constitutive nonlinear partial differential flow expressions are reduced by utilizing compatible similarity transformations. The non-dimensionless flow laws of (PDEs) are changed into nonlinear dimensionless governing ordinary differential flow laws and then the bvph2 numerical technique is employed for its solution. The consequences of innumerable governing flow parameters are explicitly deliberated and plotted graphically. The physical such as drag force and heat transfer rate are taken into the account and evaluated accordingly. To confirmed the legitimacy and reliability of the upcoming numerical results were compared with homotopic solution (HAM) and an outstanding promise was perceived.

scholarly journals NUMERICAL SIMULATION OF MHD STAGNATION POINT FLOW TOWARDS A HEATED AXISYMMETRIC SURFACE

2011 ◽  
Vol 52 (3) ◽  
pp. 301-308
Author(s):  
MUHAMMAD ASHRAF ◽  
M. ANWAR KAMAL
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Stagnation Point ◽  
Applied Magnetic Field ◽  
Nonlinear Differential Equations ◽  
Transverse Magnetic ◽  
Stagnation Point Flow ◽  
Suction Parameter ◽  
Similarity Transformations ◽  
Axisymmetric Surface

AbstractThe problem of stagnation point flow with heat transfer of an electrically conducting fluid impinging normally on a permeable axisymmetric surface in the presence of a uniform transverse magnetic field is analysed. The governing nonlinear differential equations and their associated boundary conditions are reduced to dimensionless form using suitable similarity transformations. Comparison with previously published work shows good agreement. Effects of the injection–suction parameter, magnetic parameter and Prandtl number on the flow and thermal fields are presented. The investigations show that the wall shear stress and heat transfer rate from the surface increase with increased applied magnetic field. An increase in the velocity and thermal boundary layer thicknesses is observed with an increase in the wall injection, while the velocity and thermal boundary layers become thinner when increasing the wall suction and applied magnetic field.

MHD Stagnation-Point Flow and Heat Transfer over an Exponentially Stretching/Shrinking Vertical Permeable Cylinder

2020 ◽  
Vol 26 ◽  
pp. 23-38
Author(s):  
Nasreen Bano ◽  
B.B. Singh ◽  
Shoeb R. Sayyed
Keyword(s):  
Differential Equations ◽  
Stagnation Point ◽  
Velocity Ratio ◽  
Transverse Magnetic ◽  
Stagnation Point Flow ◽  
Optimal Homotopy Analysis Method ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Curvature Parameter ◽  
Exponentially Stretching

The present literature analyzes the MHD stagnation-point flow of an incompressible fluidover an exponentially stretching/shrinking permeable cylinder in the presence of a transverse magnetic field, and suction/injection. The governing partial differential equations in cylindrical form aretransformed into coupled ordinary differential equations (ODEs) using suitable similarity transformations. These ODEs are solved using optimal homotopy analysis method (OHAM) via Mathematicasoftware BVPh 2.0 package. The effects of various governing parameters such as curvature parameter, magnetic parameter, wall transpiration parameter, velocity ratio parameter and Prandtl number onvelocity and temperature profiles have also been examined graphically.

scholarly journals MHD Stagnation Point Casson Nanofluid Flow over a Radially Stretching sheet

2019 ◽  
Author(s):  
G Narender ◽  
K Govardhan ◽  
G Sreedhar Sarma
Keyword(s):  
Differential Equations ◽  
Stagnation Point ◽  
Radiation Effects ◽  
Stretching Sheet ◽  
Casson Nanofluid ◽  
Linear Partial Differential Equations ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Program Language ◽  
The Impact

This article proposes the numerical model to investigate the impact of the radiation effects in the presence of heat generation/absorption and the magnetic field on the magnetohydrodynamics (MHD) stagnation point flow past a radially stretching sheet using the Casson nanofluid. The non-linear partial differential equations describing the proposed flow problem are reduced to a set of ordinary differential equations (ODEs) via suitable similarity transformations. The shooting technique has been used to obtain the numerical results with the help of the computational program language FORTRAN. The effects of pertinent flow parameters on the non-dimensional velocity, temperature and concentration profiles are presented in tables and graphs. From the results, it has been remarked that the heat transfer rate escalates for the larger values of the radiation parameter for the Casson nanofluid.

scholarly journals MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

2017 ◽  
Vol 65 (2) ◽  
pp. 155-162 ◽  
Author(s):  
A. Rauf ◽  
S. A. Shehzad ◽  
T. Hayat ◽  
M. A. Meraj ◽  
A. Alsaedi
Keyword(s):  
Stagnation Point ◽  
Mass Flux ◽  
Numerical Technique ◽  
Convective Boundary Condition ◽  
Momentum Equation ◽  
Stagnation Point Flow ◽  
Shrinking Sheet ◽  
Convective Boundary ◽  
Electrically Conducting ◽  
Zero Mass

AbstractIn this article the stagnation point flow of electrically conducting micro nanofluid towards a shrinking sheet, considering a chemical reaction of first order is investigated. Involvement of magnetic field occurs in the momentum equation, whereas the energy and concentrations equations incorporated the influence of thermophoresis and Brownian motion. Convective boundary condition on temperature and zero mass flux condition on concentration are implemented. Partial differential equations are converted into the ordinary ones using suitable variables. The numerical technique is utilized to discuss the results for velocity, microrotation, temperature, and concentration fields.

MHD Stagnation Point Flow over Exponentially Stretching Sheet with Exponentially Moving Free-Stream, Viscous Dissipation, Thermal Radiation and Non-Uniform Heat Source/Sink

2017 ◽  
Vol 11 ◽  
pp. 182-190
Author(s):  
Gauri Shenkar Seth ◽  
Rohit Sharma ◽  
B. Kumbhakar ◽  
R. Tripathi
Keyword(s):  
Heat Source ◽  
Stagnation Point ◽  
Viscous Dissipation ◽  
Free Stream ◽  
Transverse Magnetic ◽  
Stagnation Point Flow ◽  
Uniform Heat ◽  
Highly Nonlinear ◽  
Exponentially Stretching ◽  
Source Sink

An investigation is carried out for the steady, two dimensional stagnation point flow of a viscous, incompressible, electrically conducting, optically thick heat radiating fluid taking viscous dissipation into account over an exponentially stretching non-isothermal sheet with exponentially moving free-stream in the presence of uniform transverse magnetic field and non-uniform heat source/sink. The governing boundary layer equations are transformed into highly nonlinear ordinary differential equations using suitable similarity transform. Resulting boundary value problem is solved numerically with the help of 4th-order Runge-Kutta Gill method along with shooting technique. Effects of various pertinent flow parameters on the velocity, temperature field, skin friction and Nusselt number are described through figures and tables. Also, the present numerical results are compared with the earlier published results for some reduced case and a good agreement has been found among those results.

scholarly journals Heat Transfer to MHD Oscillatory Viscoelastic Flow in a Channel Filled with Porous Medium

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
Rita Choudhury ◽  
Utpal Jyoti Das
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Porous Medium ◽  
Radiative Heat ◽  
Saturated Porous Medium ◽  
Transverse Magnetic ◽  
Viscoelastic Flow ◽  
Viscoelastic Parameter ◽  
Flow Parameters ◽  
The Magnetic Field

The combined effect of a transverse magnetic field and radiative heat transfer on unsteady flow of a conducting optically thin viscoelastic fluid through a channel filled with saturated porous medium and nonuniform walls temperature has been discussed. It is assumed that the fluid has small electrical conductivity and the electromagnetic force produced is very small. Closed-form analytical solutions are constructed for the problem. The effects of the radiation and the magnetic field parameters on velocity profile and shear stress for different values of the viscoelastic parameter with the combination of the other flow parameters are illustrated graphically, and physical aspects of the problem are discussed.

scholarly journals Effects of ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet

2009 ◽  
Vol 13 (1) ◽  
pp. 5-12 ◽  
Author(s):  
Pushkar Sharma ◽  
Gurminder Singh
Keyword(s):  
Stagnation Point ◽  
Viscous Dissipation ◽  
Ohmic Heating ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Governing Equations ◽  
Shooting Technique ◽  
Electrically Conducting

Aim of the paper is to investigate effects of ohmic heating and viscous dissipation on steady flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field and variable free stream near a stagnation point on a stretching non-conducting isothermal sheet. The governing equations of continuity, momentum, and energy are transformed into ordinary differential equations and solved numerically using Runge-Kutta fourth order with shooting technique. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically, and their numerical values for various values of physical parameters are compared with earlier results and presented through tables.

Dynamics of Marangoni convection in radiative flow of power-law fluid with entropy optimization

2021 ◽  
pp. 2150280
Author(s):  
Hunida Malaikah ◽  
M. Ijaz Khan
Keyword(s):  
Power Law ◽  
Marangoni Convection ◽  
Mhd Flow ◽  
Transfer Characteristic ◽  
Radiation Parameter ◽  
Shooting Technique ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Newtonian Liquids ◽  
Power Law Index

The flow of non-Newtonian liquids and their heat transfer characteristic gained more importance due to their technological, industrial and in many engineering applications. Inspired by these applications, the magnetohydrodynamic (MHD) flow of non-Newtonian liquid characterized by a power-law model is scrutinized. Further, viscous dissipation, Marangoni convection and thermal radiation are taken into the account. In addition, the production of entropy is investigated as a function of temperature, velocity and concentration. For different flow parameters, the total entropy production (EP) rate is examined. The appropriate similarity transformations are used to reduce the modeled equations reduced into ordinary differential equations (ODEs). The Runge–Kutta–Fehlberg 45-order procedure is then used to solve these reduced equations numerically using the shooting technique. Results reveal that the escalating values of radiation parameter escalate the heat transference, but the contrary trend is portrayed for escalating values of power-law index. The augmented values of thermal Marangoni number decline the heat transference. The gain in values of radiation parameter progresses the entropy generation.

scholarly journals Numerical Analysis with Keller-Box Scheme for Stagnation Point Effect on Flow of Micropolar Nanofluid over an Inclined Surface

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1379 ◽  
Author(s):  
Rafique ◽  
Anwar ◽  
Misiran ◽  
Khan ◽  
Seikh ◽  
...  
Keyword(s):  
Differential Equations ◽  
Skin Friction ◽  
Stagnation Point ◽  
Nonlinear Differential Equations ◽  
Stagnation Region ◽  
Similarity Transformations ◽  
Box Scheme ◽  
Mass Fluxes ◽  
Micropolar Nanofluid ◽  
Inclined Surface

The prime aim of this paper is to probe the flow of micropolar nanofluid towards an inclined stretching surface adjacent to the stagnation region with Brownian motion and thermophoretic impacts. The chemical reaction and heat generation or absorption are also taken into account. The energy and mass transport of the micropolar nanofluid flow towards an inclined surface are discussed. The numerical solution is elucidated for the converted non-linear ordinary differential equation from the set of partial nonlinear differential equations via compatible similarity transformations. A converted system of ordinary differential equations is solved via the Keller-box scheme. The stretching velocity and external velocity are supposed to change linearly by the distance from the stagnation point. The impacts of involved parameters on the concerned physical quantities such as skin friction, Sherwood number, and energy exchange are discussed. These results are drawn through the graphs and presented in the tables. The energy and mass exchange rates show a direct relation with the stagnation point. In the same vein, skin friction diminishes with the growth of the stagnation factor. Heat and mass fluxes show an inverse correspondence with the inclination factor.

Magnetohydrodynamic flow of Newtonian fluid in a scraped surface heat exchanger

2015 ◽  
Vol 93 (10) ◽  
pp. 1088-1099 ◽  
Author(s):  
A.M. Siddiqui ◽  
A. Imran ◽  
M. Zeb ◽  
M.A. Rana
Keyword(s):  
Heat Exchanger ◽  
Newtonian Fluid ◽  
Transverse Magnetic ◽  
Surface Heat ◽  
Flow Properties ◽  
Electrically Conducting ◽  
Flow Parameters ◽  
Scraped Surface Heat Exchanger ◽  
Two Dimensional Flow ◽  
Surface Heat Exchanger

This paper aims to study a mathematical model of electrically conducting incompressible Newtonian fluid flow in a scraped surface heat exchanger in the presence of a transverse magnetic field. In our case the gap between the blades and the device wall is narrow so lubrication theory approximations work for the flow. Steady isothermal flow of an electrically conducting Newtonian fluid is considered around a periodic array of pivoted scraper blade in a channel in which the lower wall is moving and the upper wall is at rest. Two-dimensional flow in the transverse section of a scraped surface heat exchanger is taken. Details of the flow properties, including the possible presence of regions of reversed flow under the blades, the forces on the blades and walls, and the fluxes of fluid above and below the blades are calculated. Graphic representation for involved flow parameters is also given.

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