Explicit Solutions of MHD Flow and Heat Transfer of Casson Fluid over an Exponentially Shrinking Sheet with Suction

Liu, Ling; Li, Jing; Liao, Shijun

doi:10.3390/nano12193289

Cited by 5 publications

(2 citation statements)

References 30 publications

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“…Similarly, it was found that HAM approximation was significantly more accurate than HTR approximation. Magnetohydrodynamic flows and heat transfer analysis of Casson fluids on an exponentially shrinking thin plate were carried out by Liu et al [ 59 ]. To solve the forced Duffing equation, Prof. Liao [ 60 ] used the non-perturbation method based on homotopy analysis, namely “Directly Defining Inverse Mapping” (MDDiM).…”

Section: Introductionmentioning

confidence: 99%

Spherical Hybrid Nanoparticles for Homann Stagnation-Point Flow in Porous Media via Homotopy Analysis Method

You

Cui

2023

Nanomaterials

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Non-axisymmetric stagnant-point flows for flat plates in porous media containing spherical Cu-Al2O3-H2O nanoparticles are studied using the homotopy analysis method (HAM). The governing equations are transformed into three coupled non-linear ordinary differential equations through similarity transformations. A large degree of freedom is provided by HAM when selecting auxiliary linear operators. By transforming nonlinear coupled ordinary differential equations with variable coefficients into linear ordinary differential equations with constant coefficients, nonlinear coupled ordinary differential equations can be solved. Over the entire domain, these equations can be solved approximately analytically. The analysis involves a discussion of the impact of many physical parameters generated in the proposed model. The results have shown that skin friction coefficients of Cfx and Cfy increase with volume fraction of hybrid nanofluid and the coefficient of permeability increasing. For the axisymmetric case of γ = 0, when volume fraction, φ, φ1, φ2 = 0, 5%, 10%, 20%, Cfx = Cfy = 1.33634, 1.51918, 1.73905, 2.33449, it can be found that the wall shear stress values increase by 13.68%, 30.14%, and 74.69%, respectively. In response to an increase in hybrid nanofluid volume fractions, local Nusselt numbers Nux increase. Nux decrease and change clearly with the coefficient of permeability increasing in the range of γ < 0; the values of Nux are less affected in the range of γ > 0.

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Section: Introductionmentioning

confidence: 99%

Spherical Hybrid Nanoparticles for Homann Stagnation-Point Flow in Porous Media via Homotopy Analysis Method

You

Cui

2023

Nanomaterials

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“…The transformed modeled equations are computed using a homotopic technique. 30–37 Hence, the impacts of diverse embedded parameters on flow velocity and temperature distribution are highlighted through plots.…”

Section: Introductionmentioning

confidence: 99%

Investigation of variable thermal relaxation time in non-Fourier heat transfer flow with nonlinear thermal stratification

Shafee

Hafeez

Farooq

2023

Proceedings of the Institution of Mechanical Engineers, Part E:

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Energy utilization is a significant aspect of the manufacturing industrial processes, and inefficient transferring of heat is one of the disadvantages which can affect the quality measures of end product. Therefore, by controlling the heat transferring rate, the efficiency of manufacturing processes can be improved. Thus, the variable thermal relaxation time factor in the theory of Cattaneo-Christov is main concern of this analysis. The non-isothermal flow by means of a porous medium is modeled and analyzed for a viscous fluid. The fluid deformation is discussed under stretching mechanism. A study is also executed to interrogate the heat transfer features under the heat flux model of Cattaneo-Christov. Thermal relaxation time is also considered which is determined by temperature. The aspect of thermal stratification is also implemented to see the modifications in temperature. The flow and energy equations are reduced by appropriate variables. The reduced constitutive flow equations are then computed using an analytical convergent technique. The significant impacts of the numerous parameters on the flow field and heat transport features are evaluated in detail through various plots. Skin friction coefficient is evaluated mathematically. Results found that the temperature significantly decreases with increased stratification effects. For larger thermal relaxation time parameter, the temperature function shows increasing behavior.

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Accurate solutions of a thin rectangular plate deflection under large uniform loading

Liu

Zhong

Liao

2023

Applied Mathematical Modelling

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Explicit Solutions of MHD Flow and Heat Transfer of Casson Fluid over an Exponentially Shrinking Sheet with Suction

Cited by 5 publications

References 30 publications

Spherical Hybrid Nanoparticles for Homann Stagnation-Point Flow in Porous Media via Homotopy Analysis Method

Spherical Hybrid Nanoparticles for Homann Stagnation-Point Flow in Porous Media via Homotopy Analysis Method

Investigation of variable thermal relaxation time in non-Fourier heat transfer flow with nonlinear thermal stratification

Accurate solutions of a thin rectangular plate deflection under large uniform loading

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