scholarly journals Impact of Thermal Radiation and Heat Source/Sink on MHD Time-Dependent Thin-Film Flow of Oldroyed-B, Maxwell, and Jeffry Fluids over a Stretching Surface

Processes ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 191 ◽  
Author(s):  
Abdul Samad Khan ◽  
Yufeng Nie ◽  
Zahir Shah
Keyword(s):  
Thermal Radiation ◽  
Film Flow ◽  
Mhd Flow ◽  
Liquid Films ◽  
Two Dimensions ◽  
Time Dependent ◽  
Thin Film Flow ◽  
Coupled Equations ◽  
Liquid Film Flow ◽  
Source Sink

In this study paper, we examined the magnetohydrodynamic (MHD) flow of three combined fluids, Maxwell, Jeffry, and Oldroyed- B fluids, with variable heat transmission under the influence of thermal radiation embedded in a permeable medium over a time-dependent stretching sheet. The fluid flow of liquid films was assumed in two dimensions. The fundamental leading equations were changed to a set of differential nonlinear and coupled equations. For this conversion, suitable similarity variables were used. An optimal tactic was used to acquire the solution of the modeled problems. The convergence of the technique has been shown numerically. The obtained analytical and numerical consequences are associated graphically and tabulated. An excellent agreement was obtained between the homotropy analysis method (HAM) and numerical methods. The variation of the skin friction and Nusslet number and their influence on the temperature and concentration profiles were scrutinized. The influence of the thermal radiation, unsteadiness effect, and MHD were the main focus of this study. Furthermore, for conception to be physically demonstrated, the entrenched parameters are discussed graphically in detail along with their effect on liquid film flow.

Time dependent Oldroyd-B liquid film flow over an oscillating and porous vertical plate with the effect of thermal radiation

2017 ◽  
Author(s):  
Muhammad Ismail Mohmand ◽  
Qayyum Shah ◽  
Mustafa Bin Mamat ◽  
Zahir Shah ◽  
Abdul Samad Khan
Keyword(s):  
Thermal Radiation ◽  
Liquid Film ◽  
Vertical Plate ◽  
Film Flow ◽  
Time Dependent ◽  
Liquid Film Flow

scholarly journals Liquid Films Flowing Concurrently with Air in Horizontal Duct : 4th Report, Effect of the geometry of duct cross-section on liquid film flow

1984 ◽  
Vol 27 (230) ◽  
pp. 1644-1651 ◽  
Author(s):  
Tohru FUKANO ◽  
Hiroshi AKENAGA ◽  
Masayoshi IKEDA ◽  
Akihiko ITOH ◽  
Tessho KURIWAKI ◽  
...  
Keyword(s):  
Liquid Film ◽  
Cross Section ◽  
Film Flow ◽  
Liquid Films ◽  
Liquid Film Flow

On the effects of surface roughness in thin film flow governed by the time dependent Stokes equations

2014 ◽  
Vol 90 (1) ◽  
pp. 445-449 ◽  
Author(s):  
P. Wall ◽  
Yu. O. Koroleva ◽  
A. Tsandzana ◽  
J. Fabricius
Keyword(s):  
Thin Film ◽  
Surface Roughness ◽  
Film Flow ◽  
Stokes Equations ◽  
Time Dependent ◽  
Thin Film Flow

A numerical scheme for particle-laden thin film flow in two dimensions

2011 ◽  
Vol 230 (16) ◽  
pp. 6334-6353 ◽  
Author(s):  
Matthew R. Mata ◽  
Andrea L. Bertozzi
Keyword(s):  
Thin Film ◽  
Numerical Scheme ◽  
Film Flow ◽  
Two Dimensions ◽  
Thin Film Flow

MHD flow of a non-Newtonian nanofluid over a non-linearly stretching sheet in the presence of thermal radiation with heat source/sink

2016 ◽  
Vol 33 (5) ◽  
pp. 1610-1626 ◽  
Author(s):  
Madhu Macha ◽  
Kishan Naikoti ◽  
Ali J Chamkha
Keyword(s):  
Boundary Layer ◽  
Brownian Motion ◽  
Thermal Radiation ◽  
Power Law ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Power Law Model ◽  
Content Type ◽  
Electrically Conducting ◽  
Source Sink

Purpose – The purpose of this paper is to analyze the mangnetohydrodynamic boundary layer flow of a viscous, incompressible and electrically conducting non-Newtonian nanofluid obeying power-law model over a non-linear stretching sheet under the influence of thermal radiation with heat source/sink. Design/methodology/approach – The transverse magnetic field is applied normal to the sheet. The model used for the nanofluid incorporates the effects of Brownian motion with thermophoresis in the presence of thermal radiation. On this regard, thermophoresis effect on convective heat transfer on nanofluids are investigated simultaneously. The governing partial differential equations are reduced to ordinary differential equations by suitable similarity transformations which are solved numerically by variational finite element method. Findings – The computations carried out for some values of the power-law index, magnetic parameter, radiation parameter, Brownian motion and thermophoresis. The effect of these parameters on the velocity, temperature and nanoparticle volume fraction distribution are presented graphically. The skin friction coefficient, Nusselt number and Sherwood number for various values of the flow parameters of the problem are also presented. Originality/value – To the best of the authors’ knowledge, no investigations has been reported regarding the study of non-Newtonian nanofluids which obeying power-law model over a nonlinear stretching sheet. The principal aim of this paper is to study the boundary layer MHD flow of a non-Newtonian power-law model over a non-linear stretching sheet on a quotient viscous incompressible electrically conducting with a nanofluid.

scholarly journals Nanofluid thin film flow of Sisko fluid and variable heat transfer over an unsteady stretching surface with external magnetic field

2019 ◽  
Vol 13 ◽  
pp. 174830181983245 ◽  
Author(s):  
Muhammad Jawad ◽  
Zahir Shah ◽  
Saeed Islam ◽  
Waris Khan ◽  
Aurang Zeb Khan
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Brownian Motion ◽  
Liquid Film ◽  
Film Flow ◽  
Thin Film Flow ◽  
Sisko Fluid ◽  
Variable Heat ◽  
Liquid Film Flow ◽  
Optimal Approach

This research paper investigates two dimensional liquid film flow of Sisko nanofluid with variable heat transmission over an unsteady stretching sheet in the existence of uniform magnetic field. The basic governing time-dependent equations of the nanofluid flow phenomena with Sisko fluid are modeled and reduced to a system of differential equations with use of similarity transformation. The significant influence of Brownian motion and thermophoresis has been taken in the nanofluids model. An optimal approach is used to obtain the solution of the modeled problems. The convergence of the Homotopy Analysis Method (HAM) method has been shown numerically. The variation of the skin friction, Nusselt number and Sherwood number, their influence on liquid film flow with heat and mass transfer have been examined. The influence of the unsteadiness parameter [Formula: see text] over thin film is explored analytically for different values. Moreover for comprehension, the physical presentation of the embedded parameters, like [Formula: see text], magnetic parameter [Formula: see text], stretching parameter [Formula: see text] and Sisko fluid parameters [Formula: see text], Prandtl number Pr, thermophoretic parameter [Formula: see text], Brownian motion parameter [Formula: see text], Schmidt number [Formula: see text] have been represented by graph and discussed.

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