On the unsteady, stagnation point flow of a Maxwell fluid in 2D

Moshkin, N. P.; Пухначев, В. В.; Bozhkov, Yuri

doi:10.1016/j.ijnonlinmec.2019.05.005

Cited by 16 publications

(7 citation statements)

References 19 publications

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“…The analysis of Oldroyd-B nanofluid over an extending surface with Cattaneo-Christov theory (CCT) was presented by Khan et al 4 The numerical investigation of incompressible Eyring-Powell nanofluid through a bi-directional extending sheet with CCT was offered by Wubshet. 5 The stagnation point of the time-dependent incompressible Maxwell fluid flow was introduced by Moshkin et al 6 The special effects of Hall current on MHD flow of dusty fluid through a stretching surface were investigated by Gireesha et al 7 The incompressible Maxwell fluid flow through a bidirectional extending surface with convective conditions was presented by Mahanthesh et al 8 Consequences of Joule heating and Hall current viscous dissipative flows of nanofluid were Mahanthesh et al 9,10 The Maxwell fluid flow with homogeneousheterogeneous reactions (HHR) and CCT between spiraling disks was presented by Ahmed et al 11 The MHD and electrically conducting the mixed convective flow of Maxwell fluid with CCT over a spreading surface was evaluated by Saleem et al 12 Mixed convection in MHD flow of nanofluid with nonlinear thermal conduction was investigated by Ellahi et al 13 The Hall Effect on the convective flow of micropolar fluid with CCT was investigated by Shah et al 14 In another article, Shah et al 15 analyzed the MHD second-grade thin film flow with CCT over a time-dependent stretching sheet. The carbon nanotubes nanofluid between rotating disks with CCT was introduced by Bhattacharyya et al 16 Researchers got interests in non-Newtonian fluids due to their diverse uses in the field of engineering to analyze the transportation thermal and solutal behaviors.…”

Section: Introductionmentioning

confidence: 99%

Cattaneo–Christov theory for a time-dependent magnetohydrodynamic Maxwell fluid flow through a stretching cylinder

Islam

Dawar

Shah³

et al. 2021

Advances in Mechanical Engineering

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This research work explores the thermal and mass transport phenomena for a time-dependent Maxwell fluid flow in the presence of Cattaneo–Christov concept. The Maxwell fluid flow is analyzed through a stretching cylinder and sheet. Brownian motion, non-uniform heat source/sink, thermophoresis, and variable thermal conductivity are operated in this study. A theoretical analysis of the modeled system of equations is explored with the help of HAM. Impacts of fixed constraints on velocity, thermal, and concentration functions are offered graphically. It is concluded that the velocity profile heightens quickly for Newtonian fluid equated to non-Newtonian fluid (Maxwell) via curvature parameter while the temperature and concentration distributions increase quickly for non-Newtonian fluid as equated to the Newtonian fluid via curvature parameter. The presence of Maxwell and magnetic parameters increases the size of the trapping bolus.

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Section: Introductionmentioning

confidence: 99%

Cattaneo–Christov theory for a time-dependent magnetohydrodynamic Maxwell fluid flow through a stretching cylinder

Islam

Dawar

Shah³

et al. 2021

Advances in Mechanical Engineering

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“…The mixed convection unsteady stagnation-point flow of micropolar fluid with Soret and Dufour impact was investigated by Kasim et al (2013). Moshkin et al (2019) derived unsteady stagnation-point flow of upper-convected Maxwell fluid via Lagrangian variables and proved that solutions with weak discontinuities were existed. In addition, conferred unsteady stagnation-point flow of Oldroyd-B nanofluid along a heated sheet in the presence of nonlinear radiation, heat generation/absorption, Brownian motion and thermophoresis.…”

Section: Introductionmentioning

confidence: 99%

Unsteady stagnation-point flow of upper-convected Oldroyd-B nanofluid with variable thermal conductivity and relaxation-retardation double-diffusion model

Bai

Wang

Zhang

2021

HFF

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Purpose This paper aims to examine the unsteady stagnation-point flow, heat and mass transfer of upper-convected Oldroyd-B nanofluid along a stretching sheet. The thermal conductivity is taken in a temperature-dependent fashion. With the aid of Cattaneo–Christov double-diffusion theory, relaxation-retardation double-diffusion model is advanced, which considers not only the effect of relaxation time but also the influence of retardation time. Convective heat transfer is not ignored. Additionally, experiments verify that with sodium carboxymethylcellulose (CMC) solutions as base fluid, not only the flow curve conforms to Oldroyd-B model but also thermal conductivity decreases linearly with the increase of temperature. Design/methodology/approach The suitable pseudo similarity transformations are adopted to address partial differential equations to ordinary differential equations, which are computed analytically through homotopy analysis method (HAM). Findings It is worth noting that the increase of stagnation-point parameter diminishes momentum loss, so that the velocity enlarges, which makes boundary layer thickness thinner. With the increase of thermal retardation time parameter, the nanofluid temperature rises that implies heat penetration depth boosts up and the additional time required for nanofluid to heat transfer to surrounding nanoparticles is less, which is similar to the effects of concentration retardation time parameter on concentration field. Originality/value This paper aims to explore the unsteady stagnation-point flow, heat and mass transfer of upper-convected Oldroyd-B nanofluid with variable thermal conductivity and relaxation-retardation double-diffusion model.

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“…A potential investigation has been made to analyze three-dimensional stagnation point hybrid nanofluid flow over a slip surface by Abbas et al [13]. Serious attention has been given in recent times by researchers, engineers, and mathematicians to explore non-Newtonian stagnation point flow nanofluid flow [14][15][16][17]. e viscoelastic nanofluids have a variety of practical usage in daily life and large-scale applications.…”

Section: Introduction E Low Thermal Conductivity Features Of Various Non-mentioning

confidence: 99%

Thermal Radiation Effects on Unsteady Stagnation Point Nanofluid Flow in View of Convective Boundary Conditions

Rasheed

Islam

Khan

et al. 2021

Mathematical Problems in Engineering

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The present communication particularizes nonlinear convective non-Newtonian stagnation point flow and heat transference effects in stretchable flow of nanofluid. Magnetohydromagnetic steady viscous flow of nanofluid is examined. Heat transfer attributes of nanofluids are addressed via a numerical algorithm. Conductivity and diffusivity characteristics of fluid are depending on temperature and concentration and furthermore, on mass conservation, momentum, energy, and concentration yield partial differential equations (PDEs). The boundary layer flow concept pioneered by Prandtl has been employed to simplify the nonlinear constitutive flow laws which are then changed to ordinary differential equations. A built-in bvp4c algorithm in Mathematica software yields convergent outcomes of nonlinear (ODEs) systems. A comprehensive analysis has been made elucidating the physical significance of various governing parameters effects presented graphically. Additionally, the flow nature was confirmed versus streamlines.

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On the unsteady, stagnation point flow of a Maxwell fluid in 2D

Cited by 16 publications

References 19 publications

Cattaneo–Christov theory for a time-dependent magnetohydrodynamic Maxwell fluid flow through a stretching cylinder

Cattaneo–Christov theory for a time-dependent magnetohydrodynamic Maxwell fluid flow through a stretching cylinder

Unsteady stagnation-point flow of upper-convected Oldroyd-B nanofluid with variable thermal conductivity and relaxation-retardation double-diffusion model

Thermal Radiation Effects on Unsteady Stagnation Point Nanofluid Flow in View of Convective Boundary Conditions

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