Optimal Homotopy Analysis of Blasius and Sakiadis Newtonian Flows over a Vertical Convective Porous Surface

Alao, Felix Ilesanmi; Omowaye, Adeola John; Fagbade, A.I.; Ajayi, Babajide O.

doi:10.4028/www.scientific.net/jera.28.102

Cited by 3 publications

(2 citation statements)

References 25 publications

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“…The results of Parveen et al [54] and Alao et al [6] corroborate with the analysis presented in this report as Table 4.1. Parveen et al [54] and Alao et al [6] remarked that

{R_{ex}}^{\frac{1}{2}} C_{italicfx}

increases and

N_{italicux} {R_{ex}}^{- \frac{1}{2}}

decreases with the effect of viscous dissipation. Table 4 unravels the effects of Eckert number on the

{R_{ex}}^{\frac{1}{2}} C_{italicfx}

N_{italicux} {R_{ex}}^{- \frac{1}{2}}

, and dust's temperature.…”

Section: Analysis and Discussion Of Resultssupporting

confidence: 90%

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Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: The case of blood‐gold Carreau nanofluid and dusty fluid

Kọrikọ

Adegbie

Shah

et al. 2021

Numerical Methods Partial

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The dynamics of blood conveying gold nanoparticles (GNPs) are helpful to the health workers while air conveying dust particles over rockets is helpful to space scientists during the testing phase. However, little is known on the significance of thermal diffusivity in these aforementioned cases. In this report, the partial differential equation suitable to unravel the implication of increasing partial slip and viscous dissipation on the dynamics of the mixture of (i) blood and nano size of GNPs (ii) air and dust particles on an object with an increasing diameter (uhspr) is investigated. The density, zero shear rate viscosity, heat capacity, and thermal conductivity treated in this study vary with volume fraction nanoparticles. In the second case, the interaction between the solid particles and air is incorporated into the momentum equation using the Stokes drag. Transformation and parametrization of the two‐dimensional nonlinear partial differential equations were obtained with the aid of suitable similarity variables. Thereafter, the numerical solutions of the corresponding boundary valued problems were obtained using the classical Runge–Kutta integration scheme together with shooting techniques and Matlab bvp5c package. Enhancement in the rate of viscous dissipation is a major factor suitable to increase the velocities of both fluids, boost temperature distribution across both fluids, and local skin friction coefficients. There exist a significant difference between the effect of partial slip on the dynamics of blood‐gold nanofluid and dusty fluid.

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“…The results of Parveen et al [54] and Alao et al [6] corroborate with the analysis presented in this report as Table 4.1. Parveen et al [54] and Alao et al [6] remarked that

{R_{ex}}^{\frac{1}{2}} C_{italicfx}

increases and

N_{italicux} {R_{ex}}^{- \frac{1}{2}}

decreases with the effect of viscous dissipation. Table 4 unravels the effects of Eckert number on the

{R_{ex}}^{\frac{1}{2}} C_{italicfx}

N_{italicux} {R_{ex}}^{- \frac{1}{2}}

, and dust's temperature.…”

Section: Analysis and Discussion Of Resultssupporting

confidence: 90%

“…The results of Parveen et al [54] and Alao et al [6] corroborate with the analysis presented in this report as Table 4.1. Parveen et al [54] and Alao et al [6] remarked that R ex decreases with the effect of viscous dissipation. Table 4 unravels the effects of Eckert number on the R ex…”

Section: Responsesupporting

confidence: 88%

Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: The case of blood‐gold Carreau nanofluid and dusty fluid

Kọrikọ

Adegbie

Shah

et al. 2021

Numerical Methods Partial

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Significance of Lorentz Force and Thermoelectric on the Flow of 29 nm CuO–Water Nanofluid on an Upper Horizontal Surface of a Paraboloid of Revolution

Animasaun

Mahanthesh

Jagun

et al. 2018

Journal of Heat Transfer

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Combination of electric and magnetic forces on charged molecules of flowing fluid in the presence of a significant electromagnetic fields on surfaces with a nonuniform thickness (as in the case of upper pointed surface of an aircraft and bonnet of a car which are examples of upper horizontal surfaces of a paraboloid of revolution—uhspr) is inevitable. In this study, the influence of imposed magnetic field and Hall effects on the flow of 29 nm CuO–water nanofluid over such object is presented. Suitable similarity variables were employed to nondimensionalize and parameterize the dimensional governing equation. The numerical solutions of the corresponding boundary value problem were obtained using Runge–Kutta fourth-order integration scheme along with shooting technique. The domain of cross-flow velocity can be highly suppressed when the magnitude of imposed magnetic strength and that of Hall parameter are large. A significant increase in the cross-flow velocity gradient near an upper horizontal surface of the paraboloid of revolution is guaranteed with an increase in the Hall parameter. Enhancement of temperature distribution across the flow is apparent due to an increase in the volume fraction.

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Numerical investigation of non-transient comparative heat transport mechanism in ternary nanofluid under various physical constraints

Adnan

Abbas

Eldin

et al. 2023

MATH

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<abstract> <sec><title>Significance</title>The study of non-transient heat transport mechanism in mono nano as well as ternary nanofluids attracts the researchers because of their promising heat transport characteristics. Applications of these fluids spread in industrial and various engineering disciplines more specifically in chemical and applied thermal engineering. Due of huge significance of nanofluids, the study is organized for latest class termed as ternary nanofluids along with induced magnetic field. </sec> <sec><title>Methodology</title>The model development done via similarity equations and the properties of ternary nanoparticles, resulting in a nonlinear mathematical model. To analyze the physical results with parametric values performed via RKF-45 scheme. </sec> <sec><title>Study findings</title>The physical results of the model reveal that the velocity $ F{'}\left(\eta \right) $ increased with increasing $ m = 0.1, 0.2, 0.3 $ and $ {\lambda }_{1} = 1.0, 1.2, 1.3 $. However, velocity decreased with increasing $ {\delta }_{1} $. Tangential velocity $ G{'}\left(\eta \right) $ reduces rapidly near the wedge surface and increased with increasing $ {M}_{1} = 1.0, 1.2, 1.3 $. Further, the heat transport in ternary nanofluid was greater than in the hybrid and mono nanofluids. Shear drag and the local thermal gradient increased with increasing $ {\lambda }_{1} $ and these quantities were greatest in the ternary nanofluid. </sec> </abstract>

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Optimal Homotopy Analysis of Blasius and Sakiadis Newtonian Flows over a Vertical Convective Porous Surface

Cited by 3 publications

References 25 publications

Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: The case of blood‐gold Carreau nanofluid and dusty fluid

Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: The case of blood‐gold Carreau nanofluid and dusty fluid

Significance of Lorentz Force and Thermoelectric on the Flow of 29 nm CuO–Water Nanofluid on an Upper Horizontal Surface of a Paraboloid of Revolution

Numerical investigation of non-transient comparative heat transport mechanism in ternary nanofluid under various physical constraints

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