Three dimensional flow of an Oldroyd-B fluid with Newtonian heating

Ramzan, Muhammad; Farooq, Muhammad; Alhothuali, M. S.; Malaikah, Hunida; Cui, Weicheng; Hayat, Tasawar

doi:10.1108/hff-03-2014-0070

Cited by 45 publications

(19 citation statements)

References 30 publications

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“…The effects of thermal radiation and variable thermal conductivity on MHD three dimensional on three dimensional viscoelastic fluid flow was discussed by Shehzad et al [7]. Ramzan et al [8] explored three dimensional Oldroyd-B fluid under the influence of Newtonian heating. Shehzad et al [9] examined Magneto hydrodynamic three dimensional flow of Jeffrey fluid with Newtonian heating.…”

Section: Introductionmentioning

confidence: 98%

Three-dimensional flow of an elastico-viscous nanofluid with chemical reaction and magnetic field effects

Ramzan

Bilal

2016

Journal of Molecular Liquids

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Section: Introductionmentioning

confidence: 98%

Three-dimensional flow of an elastico-viscous nanofluid with chemical reaction and magnetic field effects

Ramzan

Bilal

2016

Journal of Molecular Liquids

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“…Farooq et al [30] analyzed the MHD convective flow of Jeffrey fluid with Newtonian heating. Ramzan et al [31] examined the 3-dimensional convection of an Oldroyd-B-type fluid over a stretching sheet with Newtonian heating. The characteristics and influences of Newtonian heating in stagnation flow and free stream velocity of a Burgers fluid is reported by Hayat et al [32].…”

Section: Introductionmentioning

confidence: 99%

Second Grade Bioconvective Nanofluid Flow with Buoyancy Effect and Chemical Reaction

et al. 2020

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This study mainly concerns with the examination of heat transfer rate, mass and motile micro-organisms for convective second grade nanofluid flow. The considered model comprises of both nanoparticles as well as gyrotactic micro-organisms. Microorganisms stabilize the suspension of nanoparticles by bio-convective flow which is generated by the combined effects of nanoparticles and buoyancy forces. The Brownian motion and thermophoretic mechanisms along with Newtonian heating are also considered. Appropriately modified transformations are invoked to get a non-linear system of differential equations. The resulting problems are solved using a numerical scheme. Velocity field, thermal and solute distributions and motile micro-organism density are discussed graphically. Wall-drag (skin-friction) coefficient, Nusselt, Sherwood and motile micro-organisms are numerically examined for various parameters. The outcomes indicate that for a larger Rayleigh number, the bio-convection restricts the upward movement of nanoparticles that are involved in nanofluid for the given buoyancy effect. Furthermore, larger buoyancy is instigated which certainly opposes the fluid flow and affects the concentration. For a larger values of fluid parameter, the fluid viscosity faces a decline and certainly less restriction is faced by the fluid. In both assisting and opposing cases, we notice a certain rise in fluid motion. Thermal layer receives enhancement for larger values of Brownian diffusion parameter. The random motion for stronger Brownian impact suddenly raises which improves the heat convection and consequently thermal distribution receives enhancement. Thermal distribution receives enhancement for a larger Lewis number whereas the decline is noticed in concentration distribution. The larger Rayleigh number results in a strong buoyancy force that effectively increases the fluid temperature. This also increases the concentration difference, thus more nanoparticles transport between surface and micro-organisms. Furthermore, for larger (Nb), the thermal state of fluid receives enhancement while a decline in motile density is observed. Numerical results show that mass flux is an enhancing function of both the (Le) and (Nb).

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“…In fact, the term Newtonian heating was introduced by Merkin 14 . Later, such kind of heating conditions were effectively used by a number of authors, for example, Ramzan et al, 15 Muhammad et al, 16 and Uddin et al 17 in simulations of polymeric and magnetic material flow. These investigations showed that altogether different and better outcomes are accomplished to Newtonian limit conditions for warming contrasted and convectional warm divider conditions.…”

Section: Introductionmentioning

confidence: 99%

Newtonian heating effect on laminar flow of Casson fluids: Thermal analysis

et al. 2020

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In the present study, free convective, laminar flow of Casson fluid is investigated numerically over a nonlinear stretched sheet to observe the characteristics of heat transfer in the presence of Newtonian heating. Nonlinear differential equations are derived from the present flow by utilizing the appropriate transformations. Thereafter, for the linear stretching case, an exact solution is applied for the momentum equation, and for the nonlinear stretching case, a convergent numerical technique, SRM, is applied. Computations of SRM and exact solutions are displayed through graphs. For various physical parameters, variation in velocity profile is observed by means of numerical computations and presented graphically. For checking the accuracy and convergence of the proposed method, outcomes are validated with the available outcomes in the literature and compared. The outcomes demonstrate that the velocity profile is reduced for the nonlinear stretching parameter effect, and, with increasing Pr, the temperature is decreased and there is a reduction in the thickness of the thermal boundary layer. K E Y W O R D SCasson fluid, exact solutions, Newtonian heating, nonlinear stretching sheet, SRM

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Three dimensional flow of an Oldroyd-B fluid with Newtonian heating

Cited by 45 publications

References 30 publications

Three-dimensional flow of an elastico-viscous nanofluid with chemical reaction and magnetic field effects

Three-dimensional flow of an elastico-viscous nanofluid with chemical reaction and magnetic field effects

Second Grade Bioconvective Nanofluid Flow with Buoyancy Effect and Chemical Reaction

Newtonian heating effect on laminar flow of Casson fluids: Thermal analysis

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