Non-Newtonian flow past a sphere in a long cylindrical tube

Carew, E. O.; Townsend, Peter

doi:10.1007/bf01331896

Cited by 31 publications

(1 citation statement)

References 27 publications

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“…Verma [2] derived the boundary layer equations near a body of revolution in a uniform stream and a case of the boundary layer over the surface of sphere and found that the increase in the elasticity of the liquid causes a shift in the point of separation towards the forward stagnation point. Carew et al [3] considered the problem of a sphere falling along the axis of vertical cylindrical tube containing a viscoelastic fluid. They used the finite element Galerkin mixed formulation in their numerical predictions of the flow.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection Boundary Layer Flow of Viscoelastic Fluids Past a Sphere

Dasman

Kasim

Mohammad

et al. 2013

DDF

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The mixed convection boundary layer of a viscoelastic fluid past a sphere with constant temperature is discussed. The boundary layer equations are an order higher than those for the Newtonian (viscous) fluid and the adherence boundary conditions are insufficient to determine the solution of these equations completely. The governing non-similar partial differential equations are first transformed into dimensionless forms and then solved numerically using the Keller-box method by augmenting an extra boundary condition at infinity. Numerical results are presented for different values of the viscoelastic and mixed convection parameters K and , respectively. It is found that for cases of cooling sphere and heating sphere, the boundary layer separates from the sphere. To the best of our knowledge, this important classical problem has not been studied before for the case of a viscoelastic fluid. Thus, the results are original and new for this type of fluids.

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Section: Introductionmentioning

confidence: 99%

Mixed Convection Boundary Layer Flow of Viscoelastic Fluids Past a Sphere

Dasman

Kasim

Mohammad

et al. 2013

DDF

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Steady Viscoelastic Flow Past a Sphere Using Spectral Elements

Owens

Phillips

1996

Int. J. Numer. Meth. Engng.

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SUMMARYThe steady flow of a viscoelastic fluid past a sphere in a cylindrical tube is considered. A spectral element method is used to solve the system of coupled non-linear partial differential equations governing the flow. The spectral element method combines the flexibility of the traditional finite element method with the accuracy of spectral methods. A time-splitting algorithm is used to determine the solution to the steady problem. Results are presented for the Oldroyd B model. These show excellent agreement with the literature. The results converge with mesh refinement. A limiting Deborah number of approximately 0.6 is found, irrespective of the spatial resolution.

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Simulation of particle settling in rotating and non-rotating flows of non-Newtonian fluids

Rameshwaran

Townsend

Webster

1998

Int. J. Numer. Meth. Fluids

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In this paper finite element solutions are presented for the flow of Newtonian and non-Newtonian fluids around a sphere falling along the centreline of a cylindrical tube. Both rotating and stationary tube scenarios are considered. Calculations are reported for three different inelastic constitutive models that manifest shear-thinning, extension-thickening and their combination. The influence of inertia and these various forms of viscous response are examined for their influence upon the drag on the settling particle and the structure of the flow. Simulations are performed by employing a semi-implicit time marching Taylor-Galerkin/pressure-correction finite element algorithm, a fractional-staged scheme of secondorder accuracy. KEY WORDS Finite elements, Taylor-Galerkin/pressure correction, particle settling, drag, rotating and non-rotating flows, inelastic non-Newtonian fluids.

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Non-Newtonian flow past a sphere in a long cylindrical tube

Cited by 31 publications

References 27 publications

Mixed Convection Boundary Layer Flow of Viscoelastic Fluids Past a Sphere

Mixed Convection Boundary Layer Flow of Viscoelastic Fluids Past a Sphere

Steady Viscoelastic Flow Past a Sphere Using Spectral Elements

Simulation of particle settling in rotating and non-rotating flows of non-Newtonian fluids

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