Impact of linear/nonlinear radiation on incessantly moving thin needle in MHD quiescent Al-Cu/methanol hybrid nanofluid

Sulochana, C.; Aparna, S. R.; Sandeep, N.

doi:10.1080/01430750.2020.1768895

Cited by 22 publications

(7 citation statements)

References 39 publications

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“…Under the above conventions, we formulated the following governing equations 33 :

\frac{\partial}{\partial x} false(r u false) badbreakinfix+ \frac{\partial}{\partial r} false(r v false) goodbreakinfix= 0,

ρ_{normalh normaln normalf} ()(, u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial r}) goodbreakinfix= μ_{normalh normaln normalf} (}{, \frac{1}{r} \frac{\partial}{\partial r} ()(, r \frac{\partial u}{\partial r}) (][, ()(, 1 badbreak+ \frac{1}{β}) badbreak+ 3 false(normaln badbreak- 1 false) Γ^{2} {(\frac{\partial u}{\partial r})}^{2})) badbreakinfix- σ_{normalh normaln normalf} B_{0}^{2} u,

{false(ρ c_{p} false)}_{normalh normaln normalf} ()(, u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial r}) goodbreakinfix= k_{normalh normaln normalf} \frac{1}{r} \frac{\partial}{\partial r} ()(, r \frac{\partial T}{\partial r}) badbreakinfix+ q ‴ badbreakinfix- \frac{16 σ^{*} T_{\infty}^{3}}{3 k^{*}} ()(, \frac{\partial^{2} T}{\partial r^{2}}),

()(, u \frac{\partial C}{\partial x} + v \frac{\partial C}{\partial r}) goodbreakinfix= D_{B} \frac{1}{r} \frac{\partial}{\partial ...}

…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Sulochana et al 29,30 examined the influence of Joule and frictional heating, thermophoresis, and Brownian motion on a Sakiadis flow caused by poignant needle and contemplated that Buongiorno parameters are efficient in amplifying the thermal conductivity to a substantial level. Few more authors 31–33 deliberated the investigations on the flow characteristics of the thin needle by considering micropolar and nanoliquids.…”

Section: Introductionmentioning

confidence: 99%

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Effect of variable heat generation/absorption on magnetohydrodynamic Sakiadis flow of Casson/Carreau hybrid nanoliquid due to a persistently moving needle

et al. 2021

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A numerical investigation is performed in the present research to confer the boundary layer characteristics of MHD flow of hybrid nanoliquids across a stagnation region of the poignant needle with thermal radiation and irregular heat source/sink effects. The hybrid nanoliquid utilized in this study is composed of uniquely manufactured aluminum alloys AA7075/AA7072 suspended in methanol liquid. Simultaneous results are depicted for Casson hybrid nanoliquid and Carreau hybrid nanoliquid for the Sakiadis fluid flow circumstance. The transmuted ordinary differential equations are resolved by means of the Runge–Kutta method with a shooting scheme. Numerical outcomes of momentum, thermal, and concentration distributions are deployed by means of graphical trends and wall friction, thermal, and mass transport rates are interpreted using tabular values. It reveals from the results that the occurrence of a special variety of alloy hybrid nanoparticles significantly surpasses the thermal transport performance of the host liquid. Also, the heat transport operation of the Casson fluid model is notably superior to the Carreau fluid model. Also, thermal distributions of the Carreau fluid model are substantially amplified by a rise in volume fraction of hybrid particles than the Casson fluid model.

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“…Under the above conventions, we formulated the following governing equations 33 :

\frac{\partial}{\partial x} false(r u false) badbreakinfix+ \frac{\partial}{\partial r} false(r v false) goodbreakinfix= 0,

ρ_{normalh normaln normalf} ()(, u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial r}) goodbreakinfix= μ_{normalh normaln normalf} (}{, \frac{1}{r} \frac{\partial}{\partial r} ()(, r \frac{\partial u}{\partial r}) (][, ()(, 1 badbreak+ \frac{1}{β}) badbreak+ 3 false(normaln badbreak- 1 false) Γ^{2} {(\frac{\partial u}{\partial r})}^{2})) badbreakinfix- σ_{normalh normaln normalf} B_{0}^{2} u,

{false(ρ c_{p} false)}_{normalh normaln normalf} ()(, u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial r}) goodbreakinfix= k_{normalh normaln normalf} \frac{1}{r} \frac{\partial}{\partial r} ()(, r \frac{\partial T}{\partial r}) badbreakinfix+ q ‴ badbreakinfix- \frac{16 σ^{*} T_{\infty}^{3}}{3 k^{*}} ()(, \frac{\partial^{2} T}{\partial r^{2}}),

()(, u \frac{\partial C}{\partial x} + v \frac{\partial C}{\partial r}) goodbreakinfix= D_{B} \frac{1}{r} \frac{\partial}{\partial ...}

…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of variable heat generation/absorption on magnetohydrodynamic Sakiadis flow of Casson/Carreau hybrid nanoliquid due to a persistently moving needle

et al. 2021

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“…Substituting η = c in the Eq. (11), which portrays the size and as well as the shape of the thin moving needle r 1 = R(x 1 ) through its surface, which is specified via R(x 1 ) = ν f cx 1 U −0.5 0. 5 .…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…They explored that dual outcomes exist only when the thin needle travels against the flow direction. The exploration of a magnetic field containing menthol based Al-Cu hybrid nanoliquid through a moving needle submerged horizontally was investigated by Sulochana et al 11 . They have shown that due to the size of the needle, the rate of heat transport augments.…”

Section: Introductionmentioning

confidence: 99%

Dual solutions of nanomaterial flow comprising titanium alloy (Ti6Al4V) suspended in Williamson fluid through a thin moving needle with nonlinear thermal radiation: stability scrutinization

Khan

Zaib

Khan

et al. 2020

Sci Rep

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Titanium alloy nanoparticle has a variety of applications in the manufacturing of soap and plastic, microsensors, aerospace design material, nano-wires, optical filters, implantation of surgical, and many biological treatments. Therefore, this research article discussed the influence of nonlinear radiation on magneto Williamson fluid involving titanium alloy particles through a thin needle. The arising system of partial differential equations is exercised by the similarity transformations to get the dimensional form of ordinary differential equations. The dual nature of solutions is obtained by implementing bvp4c. The study of stability has been carried out to check which of the results are physically applicable and stable. Influences of pertinent constraints on the flow field are discussed with the help of graphical representations and the method validation is shown in Table 1. The results imply that more than one result is established when the moving needle and the free-stream travel in the reverse directions. Moreover, the magnetic parameter accelerates the severance of boundary-layer flow, while the separation delays in the absence of the nanoparticle. The velocity gradient of nanofluid decays owing to the Williamson parameter in both branches of the outcome, while the temperature shrinks in the first or upper branch solution (stable one) and uplifts in the second or lower branch solution (unstable one). The size of the needle decreases the velocity in the upper solution and accelerates in the lower solution. The patterns of streamlines are more complicated due to the reverse direction of the free stream and thin needle.

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“…Ashwinkumar et al 11 investigated a vertical cone and plate using thermal non-linear radiation are used to circulate a CuO-Al 2 O 3 /water hybrid nanofluid. Heat transfer owing to the stretched surface dusty nanofluid flow and dusty hybrid nanofluid flow was examined by Samrat et al 12 Refs [13][14][15][16][17][18][19] are some examples of foundation investigations in the area of hybrid nanofluids. The micro-polar liquid theory is a boundary layer theory that considers nanoparticle micro-rotation.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of micropolar hybrid nanofluid in the presence of non-Fourier flux model and thermal radiation

Zuhra

Khalifa

ElSeabee

et al. 2022

Advances in Mechanical Engineering

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The influence of various influential factors on the flow field, temperature, and concentration variations are observed throughout the study of thermo-physical properties. The transfer of heat in fluids and thermal instability/stability are fascinating areas of study because of their vast range of applications, and physical significance in many engineering systems. This research aims to investigate and evaluate the flow characteristic, heat and concentration variations of hybrid nanofluids containing MHD natural convection flow of micropolar CuO-Ag/water in porous media across a vertically positioned plate. The flow model is treated with suction/injection at the plate’s surface, thermal radiation, heat generation and absorption, Joule heating, and viscous dissipation. The non-Fourier theory for the heat flux model is used to diminish the thermal instability. Mathematical system for the proposed model having some physical aspects results in a system of PDEs form which is restricted the boundary layer approximation is used. The PDEs model is then converted into an ODEs system using the suitable transformations. Numerical scheme RK-4 in collaboration shooting technique is used to find the best approximate results. For the validation of the employed technique, a comparison is offered from literature to confirm the dependability of the produced solution. Physical characteristics of the given solution have been studied and demonstrated against various associated influential factors. In the case of hybrid nano-structures, thermal growth is accelerated rather than in the event of nanofluid. The momentum layer thickness is more essential in hybrid nanoparticles than in nanoparticles. It’s also being looked at how crucial flow parameters affect heat transmission and skin friction.

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Impact of linear/nonlinear radiation on incessantly moving thin needle in MHD quiescent Al-Cu/methanol hybrid nanofluid

Cited by 22 publications

References 39 publications

Effect of variable heat generation/absorption on magnetohydrodynamic Sakiadis flow of Casson/Carreau hybrid nanoliquid due to a persistently moving needle

Effect of variable heat generation/absorption on magnetohydrodynamic Sakiadis flow of Casson/Carreau hybrid nanoliquid due to a persistently moving needle

Dual solutions of nanomaterial flow comprising titanium alloy (Ti6Al4V) suspended in Williamson fluid through a thin moving needle with nonlinear thermal radiation: stability scrutinization

Numerical analysis of micropolar hybrid nanofluid in the presence of non-Fourier flux model and thermal radiation

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