Hydromagnetic flow of a Carreau fluid in a curved channel with non-linear thermal radiation

Abbas, Zaheer; Imran, Muhammad; Naveed, M.

doi:10.2298/tsci171011077a

Cited by 14 publications

(7 citation statements)

References 34 publications

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“…The prime focus of this section is to briefly explain the method of homotopy analysis that we used to calculate the series solution of governing nonlinear PDEs (10-12) with final boundary conditions (13). For this depiction, as initial assumption and linear auxiliary operators for concentration, temperature and velocity field we take the following expressions as…”

Section: Solution Methodologymentioning

confidence: 99%

“…Sajid et al [12] has computed joule heating impacts on magnetic nanoparticles through a semi-porous curved channel. The impacts of the applied constant magnetic field on the thermally heated flow of Carreau liquid within a curved channel was evaluated by Abbas et al [13]. Numerical outcomes for heat transfer process in Powell-Eyring liquid flow through a curved channel with Cattaneo-Christov heat flux model was computed by Abbas et al [14].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of entropy generation with heat generation in time dependent hydromagnetic flow of nanofluid in an oscillatory semi- porous curved channel

Imran¹,

Abbas²,

Naveed³

2021

Preprint

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The present study focusses on the investigation of thermodynamic optimization of hydromagnetic time dependent boundary layer nanofluid flow by employing entropy generation method (EMG) in semi- permeable oscillatory curved channel. We used Buongiorno model for nanofluid to address the impact of the parameters of Brownian motion and thermophoresis. The consequences of heat production are also taken into consideration in energy the equation. The mathematical form of boundary layer equations is accomplished by following the curvilinear coordinates scheme for the considered flow problem. The analytical convergent solution of the determined nonlinear PDEs is achieved through the process of homotopy analysis (HAM). A detailed analysis is conducted out to analyze the consequences of dissimilar variables concerned, such as non-dimensional radius of curvature, Lewis number, magnetic parameter, relation of wall oscillation frequency to its parameter of velocity, Reynolds number, Prandtl number, heat production and thermophoresis parameters, entropy generation rate, Brownian motion parameter and Brickman number, concentration and temperature difference parameters on temperature, velocity profile, concentration, pressure, drag surface force, Bejan number, entropy generation, rate of mass and heat transport are addressed in detail via tables and graphs. It is noted that, the magnitude of heat transmission rate (local Nusselt number) steadily decays for advanced values of radius of curvature variable and Reynolds number.

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Section: Solution Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of entropy generation with heat generation in time dependent hydromagnetic flow of nanofluid in an oscillatory semi- porous curved channel

Imran¹,

Abbas²,

Naveed³

2021

Preprint

Self Cite

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“…The study of Chebyshev finite difference for MHD flow of a micropolar fluid past a stretching sheet with heat transfer is given in [13]. Some more work on fluid can be seen in [14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

A new class of A-stable numerical techniques for ordinary differential equations: Application to boundary-layer flow

Nawaz

Arif

2021

THERM SCI

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The present attempt is made to propose a new class of numerical techniques for finding numerical solutions of ODEs. The proposed numerical techniques are based on interpolation of a polynomial. Currently constructed numerical techniques use the additional information(s) of derivative(s) on particular grid point(s). The advantage of the presently proposed numerical techniques is that these techniques are implemented in one step and can provide highly accurate solution and can be constructed on fewer amounts of grid points but has the disadvantage of finding derivative(s). It is to be noted that the high order techniques can be constructed using just two grid points. Presently proposed fourth-order technique is A-stable but not L-stable. The order and maximum absolute error are found for a fourth-order technique. The fourth-order technique is employed to solve the Darcy-Forchheimer fluid flow problem which is transformed further to a third-order nonlinear boundary value problem on the semi-infinite domain.

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“…Inspired by the above literature survey of non-Newtonian fluid over a stretchable surface, the present research work aimed to explore the radiative nanomaterial flow of Ree-Eyring fluid subject to stretchable surface with entropy generation. Series solutions are developed via homotopy analysis method [24][25][26][27][28][29][30]. Furthermore, Heat and mass transfer rates and skin friction coefficient are numerically discussed and presented through tables.…”

Section: Introductionmentioning

confidence: 99%

Analysis of entropy generation minimization in flow of Ree-Eyring nanofluid between two coaxially rotating disks

et al. 2021

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The present communication addresses MHD radiative nanomaterial flow of Ree-Eying fluid between two coaxially rotating disks. Both disks are stretchable. Buongiorno model is used for nanofluids. Nanofluid aspects comprise random motion of particles (Brownian diffusion) and thermophoresis. MHD fluid is considered. Furthermore, dissipation, radiative heat flux and Ohmic heating effects are considered to model the energy equation. Total entropy rate is calculated through implementation of second thermodynamics law. Series solutions are developed through homotopy analysis method. Impacts of physical parameters on the velocity, temperature, entropy and concentration fields are discussed graphically. Skin friction coefficient and heat and mass transfer rates are numerically calculated through Tables 2-4. It is noticed that the velocity of liquid particles decreases versus higher estimations of magnetic parameter while it enhances via larger rotational parameter. Temperature field significantly increases in the presence of both Brownian diffusion and thermophoresis parameters.

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Hydromagnetic flow of a Carreau fluid in a curved channel with non-linear thermal radiation

Cited by 14 publications

References 34 publications

Analysis of entropy generation with heat generation in time dependent hydromagnetic flow of nanofluid in an oscillatory semi- porous curved channel

Analysis of entropy generation with heat generation in time dependent hydromagnetic flow of nanofluid in an oscillatory semi- porous curved channel

A new class of A-stable numerical techniques for ordinary differential equations: Application to boundary-layer flow

Analysis of entropy generation minimization in flow of Ree-Eyring nanofluid between two coaxially rotating disks

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