The Theory of Proportion. By M. J M. Hill. Pp. xx + 108. 8s. 6d. net. 1915. (Constable &amp; Co.)

Mathews, G. B.

doi:10.2307/3604056

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Math. Gaz.

1915

DOI: 10.2307/3604056

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The Theory of Proportion. By M. J M. Hill. Pp. xx + 108. 8s. 6d. net. 1915. (Constable & Co.)

G. B. Mathews¹

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“…The proposed relationship between the slip length and shear rate by Thompson and Troian [12] is nonlinear and the boundary condition becomes nonlinear even when the flow equation is linear. Recently Mathews and Hill [13] discussed the influence of the general slip boundary condition on some viscous flows. They discussed three flow problems of flow through a pipe, a channel and an annulus due to a constant applied pressure gradient.…”

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Axisymmetric Stagnation-Point Flow with a General Slip Boundary Condition over a Lubricated Surface

Sajid

Mahmood

Abbas

2012

Chinese Phys. Lett.

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We investigate the axisymmetric stagnation-point flow of a viscous fluid over a lubricated surface by imposing a generalized slip condition at the fluid-fluid interface. The power law non-Newtonian fluid is considered as a lubricant. The lubrication layer is thin and assumed to have a variable thickness. The transformed nonlinear ordinary differential equation governing the flow is linearized using quasilinearization. The method of superposition is adopted to convert the boundary value problem into an initial value problem and the solution is obtained numerically by using the fourth-order Runge—Kutta method. The results are discussed to see the influence of pertinent parameters. The limiting cases of Navier and no-slip boundary conditions are obtained as the special cases and found to be in excellent agreement with the existing results in the literature.

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mentioning

confidence: 99%

Axisymmetric Stagnation-Point Flow with a General Slip Boundary Condition over a Lubricated Surface

Sajid

Mahmood

Abbas

2012

Chinese Phys. Lett.

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show abstract

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The Theory of Proportion. By M. J M. Hill. Pp. xx + 108. 8s. 6d. net. 1915. (Constable & Co.)

Cited by 1 publication

References 0 publications

Axisymmetric Stagnation-Point Flow with a General Slip Boundary Condition over a Lubricated Surface

Axisymmetric Stagnation-Point Flow with a General Slip Boundary Condition over a Lubricated Surface

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