Interaction of Cu and Ag nanoparticles on MHD water‐based nanofluids past a stretching sheet

Nayak, B.; Mishra, S. R.; Tripathy, R. S.

doi:10.1002/htj.21547

Cited by 5 publications

(7 citation statements)

References 48 publications

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“…In the absence of thermal radiation,

R \to 0

, and this produces maximum temperatures near the disk surface (with an associated overshoot); however deeper into the boundary layer the opposite behavior is induced, and significant heating arises. A similar pattern has been computed by Ganesh et al 11,14 The neglection of radiative effects in mathematical models therefore severely under‐predicts actual temperatures in the zone further from the disk surface and over‐predicts temperatures closer to the disk surface.…”

Section: Discussion Of Resultssupporting

confidence: 79%

“…Here

σ_{0}, γ_{T}

are positive constants, which, respectively, represent the surface tension when

T = T_{\infty}

and the temperature coefficient of surface tension.

q_{r}

signifies the approximated Rosseland heat radiative flux and is assumed from References [11,36] and which is denoted as

\frac{\partial q_{r}}{\partial z} = - \frac{16 σ^{*}}{3 k^{*}} \frac{\partial T^{4}}{\partial z^{2}}

, Also,

μ_{n f}

is approximated as the viscosity of the base fluid with

μ_{f}

containing a dilute suspension of the fine spherical particles, following 37 and they are defined as follows:

μ_{n f} = μ_{f} {false(1 - ϕ false)}^{- 2.5}, ρ_{n f} = ρ_{f} false(1 - ϕ false) + ϕ ρ_{s}, {false(ρ c_{p} false)}_{n f} = {false(ρ c_{p} false)}_{f} false(1 - ϕ false) + ϕ {false(ρ c_{p} false)}_{s},

α_{n f} = \frac{k_{n f}}{{false(ρ c_{p} false)}_{n f}}, \frac{k_{n f}}{k_{f}} = \frac{(k_{s} + 2 k_{f}) - 2 ϕ (k_{f} - k_{s})}{(k_{s} + 2 k_{f}) + ϕ (k_{f} - k_{s})},

where

ϕ

is solid volume fraction of the nanofluid,

ρ_{s}

is the ...…”

Section: Thermo‐capillary Magnetic Radiative Coating Flow Modelmentioning

confidence: 99%

“…Here σ γ , T 0 are positive constants, which, respectively, represent the surface tension when ∞ T T = and the temperature coefficient of surface tension. q r signifies the approximated Rosseland heat radiative flux and is assumed from References [11,36] and which is denoted as…”

Section: Thermo-capillary Magnetic Radiative Coating Flow Modelmentioning

confidence: 99%

“…They derived novel similarity solutions for an imposed strong magnetic field and observed the magnetic parameter diminishes the Cu‐water nanofluid velocity flow. Furthermore, Nayak and his coworkers 11 investigated the interaction of Cu and Ag nanoparticles on MHD water based nanofluids to study the and observed the Cu‐water nanofluid velocity is more pronounced than Ag‐water nanofluid.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Computation of radiative Marangoni (thermocapillary) magnetohydrodynamic convection in a Cu‐water based nanofluid flow from a disk in porous media: Smart coating simulation

et al. 2020

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With emerging applications for smart and intelligent coating systems in energy, there has been increasing activity in researching magnetic nanomaterial coating flows. Surface tension features significantly in such regimes, and in the presence of heat transfer, Marangoni (thermocapillary) convection arises. Motivated by elaborating deeper the intrinsic transport phenomena in such systems, in this paper, a mathematical model is developed for steady radiative heat transfer and Marangoni magnetohydrodynamic flow of a Cu‐water nanofluid influencing a strong magnetic field through a porous disk. The semianalytical adomain decomposition method is employed to find the solution of flow governing equations, which are reduced into ordinary differential equation form via the Von Karman similarity transformation. Validation with a generalized differential quadrature algorithm is included. The response in dimensionless velocity, temperature, wall heat transfer rate and shear stress is investigated for various values of the control parameters. Temperature is reduced with increasing Marangoni parameter, whereas the flow is accelerated. With increasing permeability parameter, the temperatures are elevated. Increasing radiative flux boosts temperatures further from the disk surface. Increasing magnetic parameter strongly dampens the boundary layer flow and elevates the temperatures, also eliminating temperature oscillations at lower magnetic field strengths.

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“…In the absence of thermal radiation,

R \to 0

Section: Discussion Of Resultssupporting

confidence: 79%

“…Here

σ_{0}, γ_{T}

are positive constants, which, respectively, represent the surface tension when

T = T_{\infty}

and the temperature coefficient of surface tension.

q_{r}

signifies the approximated Rosseland heat radiative flux and is assumed from References [11,36] and which is denoted as

\frac{\partial q_{r}}{\partial z} = - \frac{16 σ^{*}}{3 k^{*}} \frac{\partial T^{4}}{\partial z^{2}}

, Also,

μ_{n f}

is approximated as the viscosity of the base fluid with

μ_{f}

containing a dilute suspension of the fine spherical particles, following 37 and they are defined as follows:

μ_{n f} = μ_{f} {false(1 - ϕ false)}^{- 2.5}, ρ_{n f} = ρ_{f} false(1 - ϕ false) + ϕ ρ_{s}, {false(ρ c_{p} false)}_{n f} = {false(ρ c_{p} false)}_{f} false(1 - ϕ false) + ϕ {false(ρ c_{p} false)}_{s},

α_{n f} = \frac{k_{n f}}{{false(ρ c_{p} false)}_{n f}}, \frac{k_{n f}}{k_{f}} = \frac{(k_{s} + 2 k_{f}) - 2 ϕ (k_{f} - k_{s})}{(k_{s} + 2 k_{f}) + ϕ (k_{f} - k_{s})},

where

ϕ

is solid volume fraction of the nanofluid,

ρ_{s}

is the ...…”

Section: Thermo‐capillary Magnetic Radiative Coating Flow Modelmentioning

confidence: 99%

Section: Thermo-capillary Magnetic Radiative Coating Flow Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Computation of radiative Marangoni (thermocapillary) magnetohydrodynamic convection in a Cu‐water based nanofluid flow from a disk in porous media: Smart coating simulation

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…Bhattacharya 10 examined flow due to an exponentially shrinking sheet and found certain critical values of mass suction to facilitate the steady flow. Smelling the possibility of exploring new features in flow arising due to shrinking/stretching surface, some attempts have been made recently 11–26 . Acknowledging the complexities in radiative heat transfer, some reasonable simplifications have been invoked to make the system amenable to theoretical treatment commensurate to physical reasoning.…”

Section: Introductionmentioning

confidence: 99%

Cattaneo–Christov flux and entropy in thermofluidics involving shrinking surface

2021

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The paper examines radiative Casson boundary layer flow over an exponentially shrinking permeable sheet in a Cattaneo–Christov heat flux environment. The sheet is placed at the bottom of the fluid‐saturated porous medium and suction is applied normally to the sheet to contain the vorticity. The radiative heat flux in the energy equation is assumed to follow the Rosseland approximation. Similarity transformation is performed to convert the governing partial differential equations into ordinary differential equations. The resulting boundary value problem is treated numerically employing Runge–Kutta fourth‐order integration scheme along with the shooting method. The effects of pertinent parameters on quantities of interest are showcased graphically/in tabular form and are discussed. The dual profiles for velocity and temperature lead to a dual solution regime for entropy. It is found that critical mass suction rate and Nusselt number are substantially responsive to various parameters' values. Critical suction values decrease with a rise in Casson parameter β and permeability parameter K. Skin friction coefficient and Nusselt number show peculiar behavior for distinct branches of solutions.

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A proposed unsteady bioconvection model for transient thin film flow of rate-type nanoparticles configured by rotating disk

Abdelmalek

Khan

Waqas

et al. 2020

J Therm Anal Calorim

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Interaction of Cu and Ag nanoparticles on MHD water‐based nanofluids past a stretching sheet

Cited by 5 publications

References 48 publications

Computation of radiative Marangoni (thermocapillary) magnetohydrodynamic convection in a Cu‐water based nanofluid flow from a disk in porous media: Smart coating simulation

Computation of radiative Marangoni (thermocapillary) magnetohydrodynamic convection in a Cu‐water based nanofluid flow from a disk in porous media: Smart coating simulation

Cattaneo–Christov flux and entropy in thermofluidics involving shrinking surface

A proposed unsteady bioconvection model for transient thin film flow of rate-type nanoparticles configured by rotating disk

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