Couple Stresses in Fluids

Stokes, Vijay K.

doi:10.1063/1.1761925

Cited by 932 publications

(753 citation statements)

References 6 publications

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“…The theory of Boussinesq-Stokes suspension that displays the effect of couple stress and the constitutive equations for couple stress liquids is due to Stokes (1966). A imperative group of pupils of non-Newtonian liquid model is the couple stress replica which is a vigorous models for definite polymeric materials.…”

Section: Introductionmentioning

confidence: 99%

An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer

Mahabaleshwar¹,

Sarris

Hill

et al. 2017

International Journal of Heat and Mass Transfer

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Disclaimer UWE has obtained warranties from all depositors as to their title in the material deposited and as to their right to deposit such material. UWE makes no representation or warranties of commercial utility, title, or fitness for a particular purpose or any other warranty, express or implied in respect of any material deposited.UWE makes no representation that the use of the materials will not infringe any patent, copyright, trademark or other property or proprietary rights. UWE accepts no liability for any infringement of intellectual property rights in any material deposited but will remove such material from public view pending investigation in the event of an allegation of any such infringement. PLEASE SCROLL DOWN FOR TEXT. AN MHD COUPLE STRESS FLUID DUE TO ABSTRACTWe investigate an MHD couple stress liquid due to a perforated sheet undergoing linear stretching with radiation. The liquid is initially at rest with its activity is restricted by pulling the two sheet ends with parallel and identical forces. The consequential movement of the or else quiescent fluid is consequently generated exclusively by the stirring plate that develops a linearly varied speed with the distance from the slit. In addition to fluid flow, heat transfer with two cases of different boundary conditions from the sheet is considered, the first with prescribed surface temperature and, the second with prescribed heat flux. The arising set of non-linear coupled nonlinear partial differential equations is rehabilitated into non-linear ordinary differential equations and then exact expressions are derived for velocity and by means of a power series method with Kummer's confluent hyper-geometric functions for temperature.

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Section: Introductionmentioning

confidence: 99%

An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer

Mahabaleshwar¹,

Sarris

Hill

et al. 2017

International Journal of Heat and Mass Transfer

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show abstract

Section: Introductionmentioning

confidence: 99%

“…In this connection, Eringen [24] and Stokes [25] developed separate theories referred to as micropolar fluid theory and couple stress fluid theory. The couple-stress fluid theory given by Stokes [25] represents the simplest generalization of the classical viscous fluid theory that allows for polar effects in which the order of differential equations is higher than the Navier-Stokes equations. The couple stress fluid theory is found to be important in a number of processes that occur in industry, such as the extrusion of polymer fluids, solidification of liquid crystals, cooling of metallic plates in a bath, exotic lubricants and colloidal fluids, liquids containing long-chain molecules as polymeric suspensions, electro-rheological fluids and so on.…”

Section: Introductionmentioning

confidence: 99%

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Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field

Shankar

Kumar

Shivakumara

2016

Applied Mathematical Modelling

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a b s t r a c tThe combined effect of couple stresses and a uniform horizontal AC electric field on the stability of buoyancy-driven parallel shear flow of a vertical dielectric fluid between vertical surfaces maintained at constant but different temperatures is investigated. Applying linear stability theory, stability equations are derived and solved numerically using the Galerkin method with wave speed as the eigenvalue. The critical Grashof number G c , the critical wave number a c and the critical wave speed c c are computed for wide ranges of couple stress parameter c , AC electric Rayleigh number R ea and the Prandtl number Pr . Based on these parameters, the stability characteristics of the system are discussed in detail. The value of Prandtl number at which the transition from stationary to travelling-wave mode takes place is found to be independent of AC electric Rayleigh number even in the presence of couple stresses but increases significantly with increasing c . Moreover, the effect of increasing R ea is to instill instability, while the couple stress parameter shows destabilizing effect in the stationary mode but it exhibits a dual behavior if the instability is via travelling-wave mode. The streamlines and isotherms presented demonstrate the development of complex dynamics at the critical state.

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“…Various micro-continuum theories have been developed to properly describe the rheological behaviour of non-Newtonian fluids. Among these continuum theories, stoke's coupled stress fluid model [10] has been extensively used to analyse the performance of various fluid film bearing systems. Rheological effects of coupled stress fluid on the dynamic performance of hydrostatic porous journal bearings including slip effect has been presented by Guha [5].…”

Section: Introductionmentioning

confidence: 99%

Comparison between steady-state characteristics of isotropic and anisotropic doubled-layered porous journal bearings under coupled stress lubrication

Some

Guha

2018

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract.A theoretical comparison between the steady-state characteristics of isotropic and anisotropic finite hydrostatic double-layered porous journal bearings dealing with the effects of slip flow at the fine porous layer-film interface and percolation of additives into pores under the coupled stress fluid lubrication is presented. Based on the Beavers-Joseph's criterion for slip flow, the modified Reynolds equation applicable to finite porous journal bearings lubricated with coupled stress fluids have been derived. The governing equations for flow in the coarse and fine layers of porous medium incorporating the percolation of polar additives of lubricant and the modified Reynolds equation are solved simultaneously using finite difference method satisfying appropriate boundary conditions to obtain the steady-state performance characteristics for both isotropic and anisotropic porous bearing. The comparisons between isotropic and anisotropic doubled-layered porous bearings for various steady-state characteristics are exhibited in the form of graphs which may be useful for design of such bearings.

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Couple Stresses in Fluids

Cited by 932 publications

References 6 publications

An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer

An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer

Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field

Comparison between steady-state characteristics of isotropic and anisotropic doubled-layered porous journal bearings under coupled stress lubrication

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