Analytical investigation of third grade nanofluidic flow over a riga plate using Cattaneo-Christov model

Naseem, Anum; Shafiq, Anum; Zhao, Lei; Farooq, M.

doi:10.1016/j.rinp.2018.01.013

Cited by 57 publications

(43 citation statements)

References 33 publications

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“…Homotopy analysis method [18][19][20][21][22] for convergent series solutions is very convenient to obtain the approximated solutions for a given nonlinear system. The method is independent of small/large physical parameters.…”

Section: Series Solutionsmentioning

confidence: 99%

Marangoni Effect in Second Grade Forced Convective Flow of Water Based Nanofluid

Rasool

Zhang

Shafiq

2019

JAN

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Advances in nanotechnology especially in nanofluids comprising of a typical base fluid saturated with nano-size metallic particles with enhanced thermophysical properties is one of the hot topics in industrial as well as engineering applications of applied mathematics. This article explores the impact of Lorentz forces and Maragoni effect on second grade nanofluid forced convective flow. A two phase model is chosen to validate the nanofluid. Series solutions are achieved through HAM after transformation of PDEs into ODEs. The Brownian motion effect, Thermophoresis and the Marangoni effect are the main influencing factors for present flow model. In addition, the influence of pertinent fluid parameters such as Schmidt number, Magnetic number and Prandtl number on the velocity, temperature and concentration profiles is discussed with the help of graphs. With an enhanced Marangoni factor the hydraulic boundary layer thickness shows enhancement.

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Section: Series Solutionsmentioning

confidence: 99%

Marangoni Effect in Second Grade Forced Convective Flow of Water Based Nanofluid

Rasool

Zhang

Shafiq

2019

JAN

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“…Theoretical and numerical discussion by Bhatti et al has shown the effects of thermal radiation with EMD through a Riga plate [30]. Further, a Cattaneo-Christov model for third-grade nanofluid flow toward a Riga plate has been developed by Naseem et al [31] by using a semi-analytical method, i.e., the optimal homotopy analysis method (OHAM). The proposed theory was adopted together with the newly esteemed zero nanoparticles mass flux condition to investigate mass and thermal diffusions.…”

Section: Introductionmentioning

confidence: 99%

Marangoni Driven Boundary Layer Flow of Carbon Nanotubes Toward a Riga Plate

et al. 2020

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The objective of this article is to explore radiative Marangoni boundary layer flow of carbon nanotubes along a surface that is an electromagnetic actuator, such as a Riga surface. A comparative study is conducted to investigate the behavior of Lorentz forces on the basis of nanoparticle temperature fluxes with two different types of carbon nanotubes, namely single-wall carbon nanotube and multi-wall carbon nanotubes saturated into water as the base fluid. The proposed schemes of governing equations are then converted into ordinary differential equations by similarity transformation. One of best analytical methods, the homotopy analytical method, is utilized for the solution of the governing equations and the convergence of the control parameters. Embedded dimensionless parameters of the flow fields are examined via graphical illustrations. It is observed that an increase in the modified Hartmann number increases the velocity field but reduces the temperature distribution.

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“…Hayat et al [38] judged that nanofluid enhanced the temperature and associated boundary layer width of Casson flow. Naseem et al [39] numerically investigated third grade nanoliquid flow using the Cattaneo-Christov model over a Riga plate and observed that, with an increment in thermal and concentration relaxation parameters, a reduction occurred in concentration and temperature distribution, respectively. Rasool et al [40] examined the MHD Darcy-Forchheimer nanoliquid flow under the nonlinear stretched surface.…”

Section: Introductionmentioning

confidence: 99%

On the MHD Casson Axisymmetric Marangoni Forced Convective Flow of Nanofluids

et al. 2019

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The proposed investigation concerns the impact of inclined magnetohydrodynamics (MHD) in a Casson axisymmetric Marangoni forced convective flow of nanofluids. Axisymmetric Marangoni convective flow has been driven by concentration and temperature gradients due to an infinite disk. Brownian motion appears due to concentration of the nanosize metallic particles in a typical base fluid. Thermophoretic attribute and heat source are considered. The analysis of flow pattern is perceived in the presence of certain distinct fluid parameters. Using appropriate transformations, the system of Partial Differential Equations (PDEs) is reduced into non-linear Ordinary Differential Equations (ODEs). Numerical solution of this problem is achieved invoking Runge–Kutta fourth-order algorithm. To observe the effect of inclined MHD in axisymmetric Marangoni convective flow, some suitable boundary conditions are incorporated. To figure out the impact of heat/mass phenomena on flow behavior, different physical and flow parameters are addressed for velocity, concentration and temperature profiles with the aid of tables and graphs. The results indicate that Casson fluid parameter and angle of inclination of MHD are reducing factors for fluid movement; however, stronger Marangoni effect is sufficient to improve the velocity profile.

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Analytical investigation of third grade nanofluidic flow over a riga plate using Cattaneo-Christov model

Cited by 57 publications

References 33 publications

Marangoni Effect in Second Grade Forced Convective Flow of Water Based Nanofluid

Marangoni Effect in Second Grade Forced Convective Flow of Water Based Nanofluid

Marangoni Driven Boundary Layer Flow of Carbon Nanotubes Toward a Riga Plate

On the MHD Casson Axisymmetric Marangoni Forced Convective Flow of Nanofluids

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