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Maraj, E.N.; Iqbal, Zahid; Azhar, Ehtsham; Mehmood, Zaffar

doi:10.1016/j.rinp.2017.12.077

Cited by 30 publications

(20 citation statements)

References 31 publications

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“…With foregoing assumptions and employing Boussinesq approximation boundary layer theory with thermal radiation and viscous dissipation effects, the transport equations of the hybrid nanofluid flow for momentum and energy transfer are established as follows 43,45,46

\frac{\partial (italicru)}{\partial x} + \frac{\partial (italicrw)}{\partial y} = 0,

\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} + w \frac{\partial u}{\partial z} - \frac{v^{2}}{x} = \frac{1}{ρ_{hnf}} \frac{\partial}{\partial z} (μ_{hnf} \frac{\partial u}{\partial z}) - \frac{ν_{hnf}}{K} u + g {(β_{t})}_{hnf} (T - T_{\infty}) \cos θ *,

\frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + w \frac{\partial v}{\partial z} + \frac{u v}{x} = \frac{1}{ρ_{hnf}} \frac{\partial}{\partial z} (μ_{hnf} \frac{\partial v}{\partial z}) - \frac{ν_{hnf}}{K} v,

\frac{\partial T}{\partial t} + u \frac{\partial T}{\partial x} + w \frac{\partial T}{\partial z} = \frac{1}{{(ρ c_{p})}_{hnf}} \frac{\partial}{\partial z} (k_{hnf} \frac{\partial T}{\partial z}) - \frac{1}{{(ρ c_{p})}_{hnf}} \frac{\partial q_{r}}{\partial z} + \frac{μ_{hnf}}{{(ρ c_{p})}_{hnf}} (][, (\frac{\partial u}{...}))

…”

Section: Mathematical Description Of the Problemmentioning

confidence: 99%

“…The model for hybrid nanofluid effective density

ρ_{hnf}

, specific heat capacity

{(v)}_{hnf}

, dynamic viscosity

μ_{hnf}

, thermal conductivity

k_{hnf}

, and volumetric thermal expansion coefficient

{(β_{t})}_{hnf}

is given in Table 3 14,45 …”

Section: Mathematical Description Of the Problemmentioning

confidence: 99%

“…Sreedevi et al 44 investigated the MHD effects on fluid transport properties of a chemically reacted water‐based SWCNT/MWCNT nanofluid over a vertical cone embedded in a porous medium. Maraj et al 45 performed a comprehensive shape factor analysis of MoS 2 –SiO 2 /H 2 O inside an isothermal semivertical inverted cone with a porous boundary. They revealed that the skin friction coefficient and Nusselt number increase with increases in nanoparticles volumetric fractions.…”

Section: Introductionmentioning

confidence: 99%

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Mixed convection hybrid nanofluids flow of MWCNTs–Al₂O₃/engine oil over a spinning cone with variable viscosity and thermal conductivity

Tulu

Ibrahim

2021

Heat Trans

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This work analyzed the effects of variable viscosity and thermal conductivity, with mixed convection, thermal radiation and viscous dissipation effects, on multiwalled carbon nanotubes (MWCNTs)–aluminum oxide (Al2O3)/engine oil hybrid nanofluid flow due to a vertically inverted spinning cone embedded in a porous medium. Using suitable similarity transformation, the boundary layer fluid flow governing equations are transformed into dimensionless systems of coupled nonlinear ordinary differential equations. Then, the solutions are obtained numerically employing the spectral relaxation method. The influences of involved parameters are examined, and the results are presented with graphs and tables. The obtained results disclose that both the tangential and azimuthal skin friction coefficients increase with increasing values of temperature‐dependent viscosity and mixed convection parameters. The local heat transfer rate reduces with increasing values of the Eckert number and variable thermal conductivity parameter, whereas it enhances with greater values of the thermal radiation parameter. Generally, hybrid nanofluids of (MWCNTs–Al2O3)/engine oil show better flow distributions with good stability of thermal properties than MWCNTs/engine oil and Al2O3/engine oil mono‐nanofluids.

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\frac{\partial (italicru)}{\partial x} + \frac{\partial (italicrw)}{\partial y} = 0,

\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} + w \frac{\partial u}{\partial z} - \frac{v^{2}}{x} = \frac{1}{ρ_{hnf}} \frac{\partial}{\partial z} (μ_{hnf} \frac{\partial u}{\partial z}) - \frac{ν_{hnf}}{K} u + g {(β_{t})}_{hnf} (T - T_{\infty}) \cos θ *,

\frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + w \frac{\partial v}{\partial z} + \frac{u v}{x} = \frac{1}{ρ_{hnf}} \frac{\partial}{\partial z} (μ_{hnf} \frac{\partial v}{\partial z}) - \frac{ν_{hnf}}{K} v,

\frac{\partial T}{\partial t} + u \frac{\partial T}{\partial x} + w \frac{\partial T}{\partial z} = \frac{1}{{(ρ c_{p})}_{hnf}} \frac{\partial}{\partial z} (k_{hnf} \frac{\partial T}{\partial z}) - \frac{1}{{(ρ c_{p})}_{hnf}} \frac{\partial q_{r}}{\partial z} + \frac{μ_{hnf}}{{(ρ c_{p})}_{hnf}} (][, (\frac{\partial u}{...}))

…”

Section: Mathematical Description Of the Problemmentioning

confidence: 99%

“…The model for hybrid nanofluid effective density

ρ_{hnf}

, specific heat capacity

{(v)}_{hnf}

, dynamic viscosity

μ_{hnf}

, thermal conductivity

k_{hnf}

, and volumetric thermal expansion coefficient

{(β_{t})}_{hnf}

is given in Table 3 14,45 …”

Section: Mathematical Description Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mixed convection hybrid nanofluids flow of MWCNTs–Al₂O₃/engine oil over a spinning cone with variable viscosity and thermal conductivity

Tulu

Ibrahim

2021

Heat Trans

View full text Add to dashboard Cite

show abstract

“…[9][10][11][12][13]. Since, many authors such as Maraj et al [14], Ghadikolaei et al [15], Khan et al [16], etc., have studied the water containing Molybdenum disulphide and Silica nanoparticles, considering the either of one or both nanoparticles. Chemical attributes of molybdenum disulfide including capabilities of lubrication, heat conductivity and thermal capacitance are employed in various engineering systems [17].…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection of Silica–Molybdenum Disulphide/Water Hybrid Nanoliquid over a Rough Sphere

2021

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A steady combined convective motion over a rough sphere with hybrid nanoparticles is analyzed. We have considered silica (SiO2) and molybdenum disulphide (MoS2) nanoadditives which are added in H2O to form MoS2–SiO2/H2O hybrid nanoliquid. The partial differential equations describing the boundary layer flow characteristics are reduced into non-dimensional form with appropriate non-similar reduction. It should be noted that the governing equations have been written using the conservation laws of mass, momentum and energy. These considered equations allow simulating the analyzed phenomenon using numerical techniques. Implicit finite difference approximation and technique of Quasilinearization are utilized to work out the dimensionless control equations. The influence of various physical characteristics included in this challenge, such as the velocity fields and temperature patterns, is investigated. The study of border gradients is performed, which deals with the skin friction and energy transport strength. The plots of computational outcomes are considered, which ascertain that velocity distribution reduces, whilst coefficient of friction at the surface, energy transport strength and temperature distribution augment for enhancing values of hybrid nanofluid. For enhancing magnitude of combined convection parameter, dimensionless velocity distribution, surface drag coefficient and energy transport strength enhance, while temperature distribution diminishes. High impact of hybrid nanofluid on energy transport strength and the surface friction compared to the host liquid and mono nanofluid in presence/absence of surface roughness is shown. Velocity distribution enhances for rising values of velocity ratio parameter. Enhancing values of frequency parameter rise the friction at the surface and energy transport strength. It is also examined that the hybrid nanofluid has a maximum temperature for the blade-shaped nanoparticles and has a low temperature for the spherical-shaped nanoparticles.

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“…Elbashbeshy 9 investigated the results of transfer of heat analysis past a stretching sheet. In the recent articles, too much focus was given on the transport of nanofluid and in these articles the base fluid was considered to have invariant rheological characteristics 10 . The influence of variation in viscosity and micro variation on oblige transport of copper–water nanofluid is also examined.…”

Section: Introductionmentioning

confidence: 99%

A novel application of Lobatto IIIA solver for numerical treatment of mixed convection nanofluidic model

Ahmad

Cheema

Raja

et al. 2021

Sci Rep

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The objective of the current investigation is to examine the influence of variable viscosity and transverse magnetic field on mixed convection fluid model through stretching sheet based on copper and silver nanoparticles by exploiting the strength of numerical computing via Lobatto IIIA solver. The nonlinear partial differential equations are changed into ordinary differential equations by means of similarity transformations procedure. A renewed finite difference based Lobatto IIIA method is incorporated to solve the fluidic system numerically. Vogel's model is considered to observe the influence of variable viscosity and applied oblique magnetic field with mixed convection along with temperature dependent viscosity. Graphical and numerical illustrations are presented to visualize the behavior of different sundry parameters of interest on velocity and temperature. Outcomes reflect that volumetric fraction of nanoparticles causes to increase the thermal conductivity of the fluid and the temperature enhances due to blade type copper nanoparticles. The convergence analysis on the accuracy to solve the problem is investigated viably though the residual errors with different tolerances to prove the worth of the solver. The temperature of the fluid accelerates due the blade type nanoparticles of copper and skin friction coefficient is reduced due to enhancement of Grashof Number.

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A comprehensive shape factor analysis using transportation of MoS2-SiO2/H

Cited by 30 publications

References 31 publications

Mixed convection hybrid nanofluids flow of MWCNTs–Al₂O₃/engine oil over a spinning cone with variable viscosity and thermal conductivity

Mixed convection hybrid nanofluids flow of MWCNTs–Al₂O₃/engine oil over a spinning cone with variable viscosity and thermal conductivity

Mixed Convection of Silica–Molybdenum Disulphide/Water Hybrid Nanoliquid over a Rough Sphere

A novel application of Lobatto IIIA solver for numerical treatment of mixed convection nanofluidic model

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A comprehensive shape factor analysis using transportation of MoS2-SiO2/H

Cited by 30 publications

References 31 publications

Mixed convection hybrid nanofluids flow of MWCNTs–Al2O3/engine oil over a spinning cone with variable viscosity and thermal conductivity

Mixed convection hybrid nanofluids flow of MWCNTs–Al2O3/engine oil over a spinning cone with variable viscosity and thermal conductivity

Mixed Convection of Silica–Molybdenum Disulphide/Water Hybrid Nanoliquid over a Rough Sphere

A novel application of Lobatto IIIA solver for numerical treatment of mixed convection nanofluidic model

Contact Info

Product

Resources

About

Mixed convection hybrid nanofluids flow of MWCNTs–Al₂O₃/engine oil over a spinning cone with variable viscosity and thermal conductivity

Mixed convection hybrid nanofluids flow of MWCNTs–Al₂O₃/engine oil over a spinning cone with variable viscosity and thermal conductivity