Analytical and numerical studies on heat transfer of a nanofluid over a stretching/shrinking sheet with second-order slip flow model

Rashidi, Mohammad Mehdi; Hakeem, A.K. Abdul; Ganesh, N. Vishnu; Ganga, B.; Sheikholeslami, M.; Momoniat, E.

doi:10.1186/s40712-016-0054-2

Cited by 30 publications

(11 citation statements)

References 45 publications

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“…An analytical solution of Eq. (6) subject to boundary conditions (7), is obtained following similar procedure given in [16,[18][19][20][21]; hence, we obtain…”

Section: Solution Of Momentum Equationmentioning

confidence: 99%

“…Turkyilmazoglu [19] derived the analytical solution for MHD viscous uid ow using Laguerre polynomials with quadratic order velocity slip. The quadratic order velocity slip eects on nanouid ow over a stretching/shrinking sheet were investigated both numerically and analytically in the articles [20,21]. In the above articles, a closed form solution for momentum equation was presented and the energy equation was solved using conuent hyper-geometric function.…”

Section: Introductionmentioning

confidence: 99%

“…Numerous numerical investigations on the uid ow with quadratic order velocity slip can be found in the literature [22][23][24][25][26][27][28][29][30][31][32]. In all the above studies [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35], the eects of quadratic order temperature boundary conditions were omitted and Wu's quadratic order velocity boundary condition was considered. Arikoglu et al [33] used dierential transform method (DTM) to analyse the Karniadakis and Beskok's quadratic order velocity slip and thermal jump impacts in a rotating disk problem.…”

Section: Introductionmentioning

confidence: 99%

“…It is worth mentioning herein that -to achieve this target-, we rstly derived a closed form analytical solution of momentum equation following the footsteps in [16,[18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Exact solution for heat transport of Newtonian fluid with quadratic order thermal slip in a porous medium

Ganesh

Al‐Mdallal

Kalaivananc

2021

Advances in the Theory of Nonlinear Analysis and Its Application

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In this communication, an analytical solution for the thermal transfer of Newtonian fluid flow with quadratic order thermal and velocity slips is presented for the first time. The flow of a Newtonian fluid over a stretching sheet which is embedded in a porous medium is considered. Karniadakis and Beskok’s quadratic order slip boundary conditions are taking into account. A closed form of analytical solution of momentum equation is used to derive the analytical solution of heat transfer equation in terms of confluent hyper-geometric function with quadratic order thermal slip boundary condition. Accuracy of present results is assured with the numerical solution obtained by Iterative Power Series method with shooting technique. The impacts of porous medium parameter, tangential momentum accommodation coefficient, energy accommodation coefficient on velocity and temperature profiles, skin friction coefficient and reduced Nusselt number are discussed. The Nusselt number increases with the higher estimations of tangential momentum and energy accommodation coefficients.

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“…An analytical solution of Eq. (6) subject to boundary conditions (7), is obtained following similar procedure given in [16,[18][19][20][21]; hence, we obtain…”

Section: Solution Of Momentum Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…It is worth mentioning herein that -to achieve this target-, we rstly derived a closed form analytical solution of momentum equation following the footsteps in [16,[18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Exact solution for heat transport of Newtonian fluid with quadratic order thermal slip in a porous medium

Ganesh

Al‐Mdallal

Kalaivananc

2021

Advances in the Theory of Nonlinear Analysis and Its Application

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“…The numerical study of boundary layer flow in a thin liquid film over an unsteady stretching sheet with variable physical parameters of fluids has been done by Mohamed and Ahmed . Rashidi et al studied the steady slip flow and heat transfer of nanofluid over a stretching/shrinking sheet analytically and numerically. Cortell performed a numerical study of boundary layer flow by a continuous stretching sheet and presented the computational results for velocity, temperature and heat transfer characteristic.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a boundary layer flow over moving an exponentially stretching surface with variable viscosity and Prandtl number

Govindaraj

Singh

Roy

et al. 2019

Heat Trans. Asian Res.

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Boundary layer flow phenomenons on a stretching sheet find numerous applications in industrial processes such as manufacture and extraction of rubber and polymer sheets. The current study focuses on two‐dimensional water boundary layer flow on exponential stretching surface with a vertical plate for variable physical properties of fluid such as viscosity and Prandtl number. The Quasilinearization technique has been used on governing equations to transform nonlinear to linear equations and these equations are discretized by finite difference techniques to get numerical solutions. The effect of buoyancy parameters (λ), velocity ratio parameter (ε) and streamwise coordinator (ξ) on velocity profiles (F), temperature profiles (θ), local skin‐friction coefficient (Cfx(ReLξexp(ξ))1/2) and the local Nusselt number (Nux(ReLξexp(ξ))−1/2) has been analyzed graphically based on numerical outcome. The magnitude of velocity profiles true(Ftrue) increases and temperature profile decreases approximately by 4% and 16% with increases the buoyancy parameter from λ = 1 to λ = 3 at = 0.5 and ξ = 1.0. The skinfriction and heat transfer coefficient increases approximately by 22% and 27% with an increase in ξ from 0.5 to 1.0 at fixed ε = 0.5 and λ = 1.0. The variations of velocity profiles and temperature profiles have more impact with εas compared to ξ and λ. The benchmark studies were carried out to validate the current results with previously published work and found to be in excellent agreement.

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Computational single phase comparative study of inclined MHD in a Powell–Eyring nanofluid

2021

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In this study, the heat transfer and entropy of transient non‐Newtonian Powell–Eyring nanofluid flow is studied. The nanofluid flows over a stretched flat surface, moving nonuniformly. The flow and heat transfer properties are analyzed subject to a convective heated slippery surface. This study also examined the thermal radiation, nanoparticle shapes, inclined magnetic field (B), and joule heating. The governing equations of flow are formulated in partial differential equations (PDEs). A numerical technique utilizes the Keller Box Method to find the similarity solution of the reduced ordinary differential equations, converted from PDEs by using an appropriate transformation. Two different nanofluids, copper–methanol (Cu–MeOH) and silicon carbide–methanol (SiC–MeOH), are considered in the analysis. Significant results of various parameters for the flow, heat, Skin friction (Cf), Nusselt number (Nu), and entropy analysis are described graphically. This study's remarkable finding is that the thermal conductivity in Powell–Eyring phenomena gradually increases compared to the conventional fluid. The Cu–MeOH based nanofluid is found to be a superior thermal conductor instead of the SiC–MeOH based nanofluid. The entropy of the system exaggerates with the incorporation of nanoparticle volume fraction ϕ, thermal radiation Nr, and material parameter normalΔ. It is found that the slip parameters work as a retarded force to the system and decrease the system's entropy.

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Analytical and numerical studies on heat transfer of a nanofluid over a stretching/shrinking sheet with second-order slip flow model

Cited by 30 publications

References 45 publications

Exact solution for heat transport of Newtonian fluid with quadratic order thermal slip in a porous medium

Exact solution for heat transport of Newtonian fluid with quadratic order thermal slip in a porous medium

Analysis of a boundary layer flow over moving an exponentially stretching surface with variable viscosity and Prandtl number

Computational single phase comparative study of inclined MHD in a Powell–Eyring nanofluid

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