Periodically moving surface in an Oldroyd‐B fluid with variable thermal conductivity and Cattaneo‐Christov heat flux features

Ahmad, Iftikhar; Aziz, Shahid; Khan, Sami Ullah; Ali, Nasir

doi:10.1002/htj.21772

Cited by 12 publications

(14 citation statements)

References 42 publications

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“…This observation implies that the inclusion of variable thermal conductivity can be significant in improving heat transfer characteristics in different thermal extrusion processes. Similar results were reported by Ahmad et al 36 in the absence of variable fluid viscosity and mass diffusivity. Figure 8B shows that the thermal distribution augments by increasing the Forchheimer parameter.…”

Section: Resultssupporting

confidence: 91%

“…In the present work, the exponentially varying viscosity, thermal conductivity, and mass diffusivity take the form 36,[50][51][52][53]…”

Section: Flow Analysismentioning

confidence: 99%

“…In the present work, the exponentially varying viscosity, thermal conductivity, and mass diffusivity take the form 36,50‐53

μ (T) = μ_{\infty} e^{- ς θ (y, τ)}, K (T) = K_{\infty} (1 + δ_{1} θ (y, τ)), D (T) = D_{\infty} (1 + δ_{2} θ (y, τ)),

where

μ_{\infty}, K_{\infty}

, and

D_{\infty}

represent the viscosity, thermal conductivity, and mass diffusivity of the fluid far away from the sheet, respectively,

ς

is the variable viscosity parameter that measures the rate of dynamic viscosity with temperature,

δ_{1}

is the variable thermal conductivity parameter that measures the rate of change of thermal conductivity with temperature, and

δ_{2}

is the variable mass diffusion coefficient that measures the rate of change of chemical diffusivity with temperature.…”

Section: Flow Analysismentioning

confidence: 99%

“…Khan et al 35 studied the double‐diffusive flow of Jeffrey nanofluid over an oscillatory stretched surface under the influence of temperature‐dependent thermal conductivity. Ahmad et al 36 scrutinized the unsteady flow of Oldroyd‐B fluid along an oscillatory stretched surface with variable thermal conductivity and heat generation/absorption. Recently, Khan et al 37 investigated the mixed convection flow of the Carreau nanofluid past an oscillatory stretching sheet by considering variable thermal conductivity and thermal radiation features.…”

Section: Introductionmentioning

confidence: 99%

“…The global structure of the time derivative operator ∂ ∂ ( ) τ has a similar structure as in Equation (36), with size of W…”

mentioning

confidence: 99%

See 4 more Smart Citations

MHD mixed convective radiative flow of Eyring‐Powell fluid over an oscillatory stretching sheet using bivariate spectral method on overlapping grids

2020

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The bivariate spectral quasilinearization method (BSQLM) on overlapping grids is presented and applied in the analysis of unsteady magnetohydrodynamic mixed convection flow of Eyring-Powell fluid over an oscillatory stretching sheet embedded in a non-Darcy porous medium with nonlinear radiative heat flux and variable thermophysical properties. The fluid properties, namely the fluid viscosity, thermal conductivity, and mass diffusivity, are assumed to vary with temperature. It is assumed that the first-order chemical reaction with heat generation/absorption takes place in the flow. The flow domain is subject to uniform transverse magnetic field perpendicular to the stretching surface. The transformed flow equations are solved numerically using BSQLM on overlapping grids. The convergence properties and accuracy of the method are assessed. The proposed method is computationally efficient, and it gives stable and highly accurate results after few iterations and using few grid points in each subinterval. The improved accuracy rests upon the use of the overlapping grid, which produces sparse coefficient matrices that are easy to invert and have small condition numbers. The effects of physical parameters on the flow fields, local skin friction, the

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Section: Resultssupporting

confidence: 91%

“…In the present work, the exponentially varying viscosity, thermal conductivity, and mass diffusivity take the form 36,[50][51][52][53]…”

Section: Flow Analysismentioning

confidence: 99%

“…In the present work, the exponentially varying viscosity, thermal conductivity, and mass diffusivity take the form 36,50‐53

μ (T) = μ_{\infty} e^{- ς θ (y, τ)}, K (T) = K_{\infty} (1 + δ_{1} θ (y, τ)), D (T) = D_{\infty} (1 + δ_{2} θ (y, τ)),

where

μ_{\infty}, K_{\infty}

, and

D_{\infty}

represent the viscosity, thermal conductivity, and mass diffusivity of the fluid far away from the sheet, respectively,

ς

is the variable viscosity parameter that measures the rate of dynamic viscosity with temperature,

δ_{1}

is the variable thermal conductivity parameter that measures the rate of change of thermal conductivity with temperature, and

δ_{2}

is the variable mass diffusion coefficient that measures the rate of change of chemical diffusivity with temperature.…”

Section: Flow Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The global structure of the time derivative operator ∂ ∂ ( ) τ has a similar structure as in Equation (36), with size of W…”

mentioning

confidence: 99%

See 3 more Smart Citations

MHD mixed convective radiative flow of Eyring‐Powell fluid over an oscillatory stretching sheet using bivariate spectral method on overlapping grids

2020

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Novel insights into the computational techniques in unsteady MHD second‐grade fluid dynamics with oscillatory boundary conditions

et al. 2020

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This study presents mechanisms for the investigation of an unsteady magnetohydrodynamic second‐grade fluid flow between two periodically oscillating plates. The flow characterization is given in three forms, that is, Couette flow, Poiseuille flow, and a combination flow of both of them. A mathematical system is generated to design the problems, which are solved in an analytical way with two novel procedures, namely Adomian decomposition method (ADM) and optimal homotopy asymptotic method (OHAM). The numerical comparison, absolute errors, and residuals of OHAM and ADM solutions are evaluated. Results obtained from these two methods are studied comparatively in the form of numbers and graphs. A good agreement between the respective data is obtained. The influences of flow parameters like frequency parameter, non‐Newtonian fluid parameter, magnetic field parameter, pressure gradient parameter, and time variable on velocity scriptv(y,t) have been analyzed.

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Unsteady 3D mixed convection flow of a chemically reactive Oldroyd‐B nanofluid configured by a periodically accelerated surface

et al. 2021

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Fundamental developments in nanotechnology have attracted the attention of scientists towards the interaction of nanoparticles due to their fascinating applications in thermal engineering and solar energy systems. Convinced by such motivating applications, the current research project addresses the utilization of nanoparticles in the unsteady three‐dimensional chemically reactive flow of an Oldroyd‐B fluid induced by a bidirectional oscillatory stretching surface. The effects of mixed convection are also considered here. The prime features of the nanofluid namely thermophoresis and Brownian motion characteristics are explored by introducing the famous Buongiorno's nanofluid model. The relevant equations for the formulated theoretical model have been reduced by the appropriate transformations for which the analytic solution is deliberated via the homotopic technique. Later on, a complete graphical analysis for distinct flow parameters is deliberated for dimensionless velocities, concentration, and temperature distributions with the relevant physical implications. Moreover, stimulating physical quantities like local Nusselt and Sherwood numbers are numerically calculated and discussed. The study emphasizes that decreasing variation in both components of velocities has been reported with an increment of relaxation time, while the impact of the retardation time constant is quite opposite. It is further claimed that the velocity distribution has an increasing tendency in the horizontal direction for a higher buoyancy ratio and mixed convection parameters. Moreover, an increment in thermophoresis parameter enhances both temperature and concentration distributions.

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Periodically moving surface in an Oldroyd‐B fluid with variable thermal conductivity and Cattaneo‐Christov heat flux features

Cited by 12 publications

References 42 publications

MHD mixed convective radiative flow of Eyring‐Powell fluid over an oscillatory stretching sheet using bivariate spectral method on overlapping grids

MHD mixed convective radiative flow of Eyring‐Powell fluid over an oscillatory stretching sheet using bivariate spectral method on overlapping grids

Novel insights into the computational techniques in unsteady MHD second‐grade fluid dynamics with oscillatory boundary conditions

Unsteady 3D mixed convection flow of a chemically reactive Oldroyd‐B nanofluid configured by a periodically accelerated surface

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