Application of Successive Linearisation Method to Squeezing Flow with Bifurcation

Motsa, S. S.; Makinde, Oluwole Daniel; Shateyi, Stanford

doi:10.1155/2014/410620

Cited by 11 publications

(1 citation statement)

References 21 publications

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“…Applications of nanofluids include microelectronics, fuel cells, pharmaceutical processes, etc. The nanofluid model presented by Buongiorno [10] has been used as a tool to investigate different properties of various Newtonian and non-Newtonian fluids with nanoparticles by different researchers [11][12][13][14][15][16][17][18][19][20][21][22]. Choi [23] presented another model that considered different base fluids to inspect the properties of nanoparticles.…”

Section: Introductionmentioning

confidence: 99%

Effects of viscous dissipation and slip velocity on two-dimensional and axisymmetric squeezing flow of Cu-water and Cu-kerosene nanofluids

Khan

Ahmed

Asadullah

et al. 2015

Propulsion and Power Research

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Squeezing flow of nanofluids has been taken into account under the effects of viscous dissipation and velocity slip. Two types of base fluids are used to study the behavior of Copper nanoparticles between parallel plates. Nonlinear ordinary differential equations governing the flow are obtained by imposing similarity transformations on conservation laws. Resulting equations are solved by using an efficient analytical technique the variation of parameters method (VPM). Influences of nanoparticle concentration and different emerging parameters on flow profiles are presented graphically coupled with comprehensive discussions. A numerical solution is also sought for the sake of comparison. Effect of different parameters on skin friction coefficient and Nusselt number is also discussed.

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Section: Introductionmentioning

confidence: 99%

Effects of viscous dissipation and slip velocity on two-dimensional and axisymmetric squeezing flow of Cu-water and Cu-kerosene nanofluids

Khan

Ahmed

Asadullah

et al. 2015

Propulsion and Power Research

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A model for entropy generation in stagnation‐point flow of non‐Newtonian Jeffrey, Maxwell, and Oldroyd‐B nanofluids

Almakki

Nandy²,

Mondal

et al. 2018

Heat Trans. Asian Res.

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We present a generalized model to describe the flow of three non‐Newtonian nanofluids, namely, Jeffrey, Maxwell, and Oldroyd‐B nanofluids. Using this model, we study entropy generation and heat transfer in laminar nanofluid boundary‐layer stagnation‐point flow. The flow is subject to an external magnetic field. The conventional energy equation is modified by the incorporation of nanoparticle Brownian motion and thermophoresis effects. A hydrodynamic slip velocity is used in the initial condition as a component of the stretching velocity. The system of nonlinear equations is solved numerically using three different methods, a spectral relaxation method, spectral quasilinearization method, and the spectral local linearization method, first to determine the most accurate of these methods, and second as a measure to validate the numerical simulations. The residual errors for each method are presented. The numerical results show that the spectral relaxation method is the most accurate of the three methods, and this method is used subsequently to solve the transport equations and thus to determine the empirical impact of the physical parameters on the fluid properties and entropy generation.

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MHD, thermal radiation, thermophoresis and Soret–Dufour mechanism contributions on unsteady motion of Casson fluid over a semi‐infinite porous vertical plate

Ayegbusi

2022

Heat Trans

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This paper examined the contribution of MHD, thermal radiation, thermophoresis and Soret–Dufour mechanism on unsteady motion of Casson non‐Newtonian fluid. The flow model which resulted in partial differential equations (PDES) was transformed into a dimensionless form of PDES using suitable quantities. The contributions of controlling flow parameters were graphically presented for velocity, temperature, and concentration. The quantities of engineering interest were calculated for flow parameters and presented using table. A considerable value of Soret parameter was noticed to elevate the skin friction and Sherwood number. Impact of the magnetic parameter has great impact on the motion of Casson fluid by lowering its motion. This is because as the value of magnetic parameter increases the Lorentz force added more strength and hereby slow down the motion of an electrically conducting fluids. The present outcomes were examined with previously published work and was in conformity with each other.

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Application of Successive Linearisation Method to Squeezing Flow with Bifurcation

Cited by 11 publications

References 21 publications

Effects of viscous dissipation and slip velocity on two-dimensional and axisymmetric squeezing flow of Cu-water and Cu-kerosene nanofluids

Effects of viscous dissipation and slip velocity on two-dimensional and axisymmetric squeezing flow of Cu-water and Cu-kerosene nanofluids

A model for entropy generation in stagnation‐point flow of non‐Newtonian Jeffrey, Maxwell, and Oldroyd‐B nanofluids

MHD, thermal radiation, thermophoresis and Soret–Dufour mechanism contributions on unsteady motion of Casson fluid over a semi‐infinite porous vertical plate

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