Impacts of variable thermal conductivity on stagnation point boundary layer flow past a Riga plate with variable thickness using generalized Fourier’s law

Shah, S.; Hussain, Shafqat; Sagheer, Muhammad

doi:10.1016/j.rinp.2018.02.047

Cited by 34 publications

(14 citation statements)

References 39 publications

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“…To inspect the impact of various physical parameters on the dimensionless velocity, temperature and concentration profiles, the numerical results in graphical form are illustrated in Figs. 4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 Figure 4 illustrates that the velocity profile is a decreasing function of the Maxwell parameter, i.e., the increasing values of the Maxwell parameter reduce the velocity and hence the boundary layer thickness, which is also conventionally true while the convection parameter is present. Physically, k [ 0 means the cooling of the surface or heating of the fluid, k\0 the heating of the surface or cooling of the fluid whereas k ¼ 0 is for no The higher values of the Maxwell parameter enhance the temperature because the thermal boundary layer thickening takes place due to rise in the elasticity stress parameter but away from the boundary, the temperature profile approaches zero.…”

Section: Resultsmentioning

confidence: 94%

“…Franchi and Straughan [8] and Puri and Kythe [9] witnessed that the energy equation due to Cattaneo-Christov model is of hyperbolic type. This model has been used by many researchers considering its multiple applications in heat transfer mechanism [10][11][12][13][14][15] to construct the energy equation and discuss the flow and heat transfer behavior of various non-Newtonian fluids. Awais et al [16] examined the hydro-magnetic flow over a surface of variable thickness under the impacts of Cattaneo-Christov model and the internal heat generation/absorption.…”

Section: Introductionmentioning

confidence: 99%

“…The system of non-dimensional ODEs (14), (15) and (21) along with the boundary conditions stated in (18) and (22), is solved iteratively by an efficient numerical technique named as the shooting method [60] for several values of the involved pertinent parameters. The shooting method is more efficient as compared to the other computational techniques.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermal stratification effects on mixed convective Maxwell fluid flow with variable thermal conductivity and homogeneous/heterogeneous reactions

Shah

Hussain

Sagheer

2018

J Braz. Soc. Mech. Sci. Eng.

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In this article, the magnetohydrodynamic mixed convection Maxwell fluid flow over a vertical stretching sheet with variable thickness close to a stagnation point is explored numerically. The variable thermal conductivity has been assumed for the analysis of heat transfer characteristics. Furthermore, homogeneous-heterogeneous chemical reactions and thermal stratification have also been considered in the present study. Both the assisting and the opposing flows are discussed through tables and graphs. The ordinary differential equations are obtained via suitable similarity transformations. The numerical solutions of the non-dimensional velocity, temperature and concentration profiles are obtained by employing the shooting method and examined for different physical parameters such as the thermal stratification, thermal relaxation, mixed convection, thermal conductivity, stretching ratio, homogeneous reaction and heterogeneous reaction parameters. It is found that the temperature upturns for the higher values of the Maxwell and thermal conductivity parameters. Moreover, the ascending values of the thermal stratification parameter decay the temperature profile. The local Nusselt number or the heat transfer rate at the wall is higher in the assisting flow regime as compared with the opposing flow regime. Keywords Homogeneous-heterogeneous reactions Á Variable thermal conductivity Á Mixed convection Á Maxwell fluid Á Magnetohydrodynamic (MHD)

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Section: Resultsmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermal stratification effects on mixed convective Maxwell fluid flow with variable thermal conductivity and homogeneous/heterogeneous reactions

Shah

Hussain

Sagheer

2018

J Braz. Soc. Mech. Sci. Eng.

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“…For this purpose, the Fourier's law has been abandoned for the more practicable Cattaneo‐Christov heat flux model (CCHFM). Many recent researchers have opted for this model to examine the heat transfer mechanism 6‐13 . The last decade has seen a number of research articles related to the problems of the visco‐elastic fluids over stretching surfaces using CCHFM.…”

Section: Introductionmentioning

confidence: 99%

Radiation and slip effects on MHD Maxwell nanofluid flow over an inclined surface with chemical reaction

2021

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The numerical solutions of the upper‐convected Maxwell (UCM) nanofluid flow under the magnetic field effects over an inclined stretching sheet has been worked out. This model has the tendency to elaborate on the characteristics of “relaxation time” for the fluid flow. Special consideration has been given to the impact of nonlinear velocity slip, thermal radiation and heat generation. To study the heat transfer, the modified Fourier and Fick's laws are incorporated in the modeling process. The mass transfer phenomenon is investigated under the effects of chemical reaction, Brownian motion and thermophoresis. With the aid of the similarity transformations, the governing equations in the ordinary differential form are determined and then solved through the MATLAB's package “bvp4c” numerically. This study also brings into the spotlight such crucial physical parameters, which are inevitable for describing the flow and heat transfer behavior. This has been done through graphs and tables with as much precision and exactitude as is possible. The ascending values of the magnetic parameter, the Maxwell parameter and the angle of the inclined stretching sheet cause decay in the dimensionless velocity while an assisting behavior of the thermal and concentration buoyancy parameters is noticed.

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“…Forinstance, Ashraf and Ashraf [9] calculated stagnation point flow of a micropolar fluid on a heated surface in the presence of magnetic field. Shah et al [10] examined the variable thermal conductivity impact on stagnation point boundary layer flow over a Riga plate with www.josa.ro Physics Section variable thickness via generalized Fourier's law. Mustafa et al [11] presented the analytic solution of stagnation point flow of a nanofluid towards a stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

MHD Stagnation Point Flow of Hyperbolic Tangent Fluid With Viscous Dissipation and Chemical Reaction

Arshad

Ashraf

2021

J. Sci. Arts

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In the present work, two dimensional flow of a hyperbolic tangent fluid with chemical reaction and viscous dissipation near a stagnation point is discussed numerically. The analysis is performed in the presence of magnetic field. The governing partial differential equations are converted into non-linear ordinary differential equations by using appropriate transformation. The resulting higher order non-linear ordinary differential equations are discretized by finite difference method and then solved by SOR (Successive over Relaxation parameter) method. The impact of the relevant parameters is scrutinized by plotting graphs and discussed in details. The main conclusion is that the large value of magnetic field parameter and wiessenberg numbers decrease the streamwise and normal velocity while increase the temperature distribution. Also higher value of the Eckert number Ec results in increases in temperature profile.

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Impacts of variable thermal conductivity on stagnation point boundary layer flow past a Riga plate with variable thickness using generalized Fourier’s law

Cited by 34 publications

References 39 publications

Thermal stratification effects on mixed convective Maxwell fluid flow with variable thermal conductivity and homogeneous/heterogeneous reactions

Thermal stratification effects on mixed convective Maxwell fluid flow with variable thermal conductivity and homogeneous/heterogeneous reactions

Radiation and slip effects on MHD Maxwell nanofluid flow over an inclined surface with chemical reaction

MHD Stagnation Point Flow of Hyperbolic Tangent Fluid With Viscous Dissipation and Chemical Reaction

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