Simultaneous Convection of Carreau Fluid with Radiation Past a Convectively Heated Moving Plate

2018 ◽  
Vol 389 ◽  
pp. 60-70 ◽  
Author(s):  
Oluwole Daniel Makinde ◽  
B.C. Prasanna Kumara ◽  
G.K. Ramesh ◽  
Bijjanal Jayanna Gireesha
Keyword(s):  
Numerical Solutions ◽  
Convective Boundary Condition ◽  
Temperature Fields ◽  
Practical Significance ◽  
Integration Scheme ◽  
Moving Plate ◽  
Convective Boundary ◽  
Similarity Transformations ◽  
Effects Of Radiation ◽  
Energy Equations

In the present analysis, we extended Blasius and Sakiadis problems in Carreau fluids by considering a uniform free stream parallel to a fixed or moving flat plate, which has more practical significance. The effects of radiation and convective boundary condition are also taken into account. The resulting nonlinear momentum and energy equations are simplified using similarity transformations. Numerical solutions have been obtained for the velocity and temperature profiles by employing shooting method coupled with Runge-Kutta-Fehlberg integration scheme. Graphical results for the velocity and temperature fields are sketched and discussed. It is found that temperature of the Blasius problem is always higher than the Sakiadis problem.

3D flow and heat transfer of micropolar fluid suspended with mixture of nanoparticles (Ag-CuO/H2O) driven by an exponentially stretching surface

2020 ◽  
Vol 16 (6) ◽  
pp. 1691-1707
Author(s):  
S. Manjunatha ◽  
B. Ammani Kuttan ◽  
G.K. Ramesh ◽  
B.J. Gireesha ◽  
Emad H. Aly
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Vertical Direction ◽  
Convective Boundary Condition ◽  
Moving Plate ◽  
Convective Boundary ◽  
Content Type ◽  
Similarity Transformations ◽  
Micropolar Nanofluid ◽  
Layer Flow

PurposeThe purpose of this paper is to discuss the 3D micropolar hybrid (Ag-CuO/H2O) nanofluid past rapid moving surface, where porous medium has been considered.Design/methodology/approachThe model of problem was represented by highly partial differential equations which were deduced by using suitable approximations (boundary layer). Then, the governing model was converted into five combined ordinary differential equations applying proper similarity transformations. Therefore, the eminent iterative Runge–Kutta–Fehlberg method (RKF45) has been applied to solve the resulting equations.FindingsHigher values of vortex viscosity, spin gradient viscosity and micro-inertia density parameters are reduced in horizontal direction, whereas opposite behaviour is noticed for vertical direction.Originality/valueThe work has not been done in the area of hybrid micropolar nanofluid. Hence, this article culminates to probe how to improve the thermal conduction and fluid flow in 3D boundary layer flow of micropolar mixture of nanoparticles driven by rapidly moving plate with convective boundary condition.

scholarly journals 3D- flow of a Electrically Conducting and Dissipating Maxwell fluid treated with Ohmic Heating Convective boundary condition: Numerical Analysis

2018 ◽  
Vol 7 (4.10) ◽  
pp. 613
Author(s):  
B. Malliswari ◽  
P. Sreenivasulu ◽  
T. Poornima ◽  
N. Bhaskar Reddy
Keyword(s):  
Ohmic Heating ◽  
Three Dimensional ◽  
Maxwell Fluid ◽  
Convective Boundary Condition ◽  
Convective Boundary ◽  
Electrically Conducting ◽  
Boundary Layer Equations ◽  
Similarity Transformations ◽  
Dimensional Boundary ◽  
Effects Of Radiation

An analysis is made to study the effects of radiation, dissipation, Thermo-diffuso and Diffuso- thermo on MHD 3D Maxwell flow past a stretching permeable sheet with resistive heating. Transforming the governing dimensional boundary layer equations using three dimensional similarity transformations and then the resultant equations are numerically solved by employing Shooting method.  The effect of the pertinent parameters on various flow distributions is elaborately discussed with the help of graphs and tables. The comparison of present results with the existing literature gave an excellent agreement for the reduced cases.  

scholarly journals Numerical study of bio-convection flow of magneto-cross nanofluid containing gyrotactic microorganisms with activation energy

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Qiu-Hong Shi ◽  
Aamir Hamid ◽  
M. Ijaz Khan ◽  
R. Naveen Kumar ◽  
R. J. Punith Gowda ◽  
...  
Keyword(s):  
Radiation Effects ◽  
Numerical Study ◽  
Source Parameters ◽  
Lewis Number ◽  
Convective Boundary Condition ◽  
Convection Flow ◽  
Convective Boundary ◽  
Similarity Transformations ◽  
Cross Nanoliquid ◽  
Source Sink

AbstractIn this study, a mathematical model is developed to scrutinize the transient magnetic flow of Cross nanoliquid past a stretching sheet with thermal radiation effects. Binary chemical reactions and heat source/sink effects along with convective boundary condition are also taken into the consideration. Appropriate similarity transformations are utilized to transform partial differential equations (PDE’s) into ordinary ones and then numerically tackled by shooting method. The impacts of different emerging parameters on the thermal, concentration, velocity, and micro-rotation profiles are incorporated and discussed in detail by means of graphs. Results reveal that, the escalation in magnetic parameter and Rayleigh number slowdowns the velocity and momentum of the fluid. The increase in Biot number, radiation and heat sink/source parameters upsurges the thermal boundary but, converse trend is seen for escalating Prandtl number. The density number of motile microorganisms acts as a growing function of bioconvection Lewis number and declining function of bioconvection Peclet number.

scholarly journals Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Ammarah Raees ◽  
Hang Xu
Keyword(s):  
Film Flow ◽  
Vertical Wall ◽  
Boussinesq Approximation ◽  
Convective Boundary Condition ◽  
Convective Boundary ◽  
Similarity Transformations ◽  
Reduced Equations ◽  
Homotopy Analysis ◽  
Gravity Driven ◽  
The Mathematical Model

The gravity-driven film flow has been analyzed along a vertical wall subjected to a convective boundary condition. The Boussinesq approximation is applied to simplify the buoyancy term, and similarity transformations are used on the mathematical model of the problem under consideration, to obtain a set of coupled ordinary differential equations. Then the reduced equations are solved explicitly by using homotopy analysis method (HAM). The resulting solutions are investigated for heat transfer effects on velocity and temperature profiles.

Slip flow over a non-Newtonian fluid through a Darcy–Forchheimer medium: Numerical approach

2019 ◽  
Vol 33 (35) ◽  
pp. 1950448
Author(s):  
K. Ganesh Kumar ◽  
M. N. Khan ◽  
M. Osman ◽  
Abdulaziz R. Alharbi ◽  
Mohammad Rahimi-Gorji ◽  
...  
Keyword(s):  
Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Slip Flow ◽  
Convective Boundary Condition ◽  
Numerical Approach ◽  
Skin Friction Coefficient ◽  
Convective Boundary ◽  
Nusselt Numbers ◽  
Similarity Transformations ◽  
Liquid Suspension

This work focused on slip flow over a non-Newtonian nanofluid fluid flow past a stretching sheet with particles–liquid suspension. The convective boundary condition is taken into account. Similarity transformations are utilized to reduce the nonlinear partial differential equations into a set of nonlinear ordinary differential equations. Runge–Kutta–Fehlberg scheme is used to get the numerical solution. Important parameters are analyzed through graphs and skin friction coefficient. Nusselt numbers are presented in tables. Investigation reveals that slip parameter decreases the velocity field and Biot number increases the temperature field.

Radiative Flow of Jeffrey Fluid Through a Convectively Heated Stretching Cylinder

2014 ◽  
Vol 31 (1) ◽  
pp. 69-78 ◽  
Author(s):  
T. Hayat ◽  
S. Asad ◽  
A. Alsaedi ◽  
F. E. Alsaadi
Keyword(s):  
Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Convective Boundary Condition ◽  
Deborah Number ◽  
Temperature Fields ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Stretching Cylinder ◽  
Series Solutions ◽  
Convective Boundary

AbstractTwo-dimensional flow of Jeffrey fluid by an inclined stretching cylinder with convective boundary condition is studied. In addition the combined effects of thermal radiation and viscous dissipation are taken into consideration. The developed nonlinear partial differential equations are reduced into the ordinary differential equations by suitable transformations. The governing equations are solved for the series solutions. The convergence of the series solutions for velocity and temperature fields is carefully analyzed. The effects of various physical parameters such as ratio of relaxation to retardation times, Deborah number, radiation parameter, Biot number, curvature parameter, local Grashof number, Prandtl number, Eckert number and angle of inclination are examined through graphical and numerical results of the velocity and temperature distributions.

Effects of Arrhenius Activation Energy and Binary Chemical Reaction on Convective Flow of a Nanofluid over Frustum of a Cone with Convective Boundary Condition

2017 ◽  
Vol 16 (3) ◽  
Author(s):  
RamReddy Chetteti ◽  
Venkata Rao Chukka
Keyword(s):  
Activation Energy ◽  
Boundary Condition ◽  
Chemical Reaction ◽  
Convective Flow ◽  
Volume Fraction ◽  
Convective Boundary Condition ◽  
Complex Flow ◽  
Arrhenius Activation Energy ◽  
Convective Boundary ◽  
Similarity Transformations

AbstractIn this article, we investigate the effects of Arrhenius activation energy with binary chemical reaction and convective boundary condition on natural convective flow over vertical frustum of a cone in a Buongiorno nanofluid under the presence of thermal radiation. The zero nanoparticle flux condition is used at the surface of frustum of a cone rather than the uniform wall condition to execute physically applicable results. For this complex flow model, a suitable non-similarity transformations are used initially and then Bivariate pseudo-spectral local linearisation method is used to solve the non-similar, coupled partial differential equations. Further, the convergence test and error analysis are conducted to verify the accuracy of numerical method. The effects of flow influenced parameters on the non-dimensional velocity, temperature, nanoparticle volume fraction and regular concentration profiles as well as on the skin friction, heat transfer rate, nanoparticle and regular mass transfer rates are analyzed.

scholarly journals Effect of Viscous Dissipation and Thermoporesis on the Flow Over an Exponentially Stretching Sheet

2019 ◽  
Vol 24 (2) ◽  
pp. 425-438 ◽  
Author(s):  
D. Srinivasacharya ◽  
P. Jagadeeshwar
Keyword(s):  
Viscous Dissipation ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Convective Boundary Condition ◽  
Local Similarity ◽  
Governing Equations ◽  
Convective Boundary ◽  
Exponentially Stretching ◽  
Physical Quantities ◽  
Sheet Stretching

Abstract This article analyses the influence of viscous dissipation and thermoporesis effects on the viscous fluid flow over a porous sheet stretching exponentially by applying convective boundary condition. The numerical solutions to the governing equations are evaluated using a local similarity and non-similarity approach along with a successive linearisation procedure and Chebyshev collocation method. The influence of the pertinent parameters on the physical quantities are displayed through graphs.

Study of Some Contemporary Laminar Flow Models Over a Flat Plate Using Maple

2008 ◽  
Author(s):  
Abdul Aziz
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Laminar Boundary Layer ◽  
Numerical Solutions ◽  
Nonlinear Differential Equations ◽  
Slip Flow ◽  
Moving Plate ◽  
Flow Models ◽  
Layer Flow ◽  
Energy Equations

The paper uses a modern computing tool, Maple, to study some contemporary problems in laminar boundary layer flow over a flat plate. The purpose is to demonstrate that Maple is a powerful computational tool for solving realistic contemporary problems in laminar boundary layer theory. The specific problems (all pertaining to a flat plate) chosen for this study are (1) hydrodynamic boundary layer with slip flow condition, (2) velocity boundary layer on a moving plate, (3) hydrodynamic and thermal boundary layers with a linear shear flow. Each problem is of contemporary interest and allows a similarity analysis which reduces the continuity, momentum, and energy equations into ordinary nonlinear differential equations. Numerical solutions of these equations are generated and physical interpretations of the results provided. Maple worksheets for solving each problem are available from the author upon request. It is shown that the effort required to solve these problems with Maple is modest, consisting of few lines of easily learned commands. The use of Maple facilitates and enriches the study of laminar boundary flows in general.

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