In this work we develop a method of straight lines for a one-dimensional Bingham problem. A Bingham fluid has viscosity properties that produce a separation into two regions, a rigid zone and a viscous zone. We propose a method of lines with the time as a discrete variable. We prove that the method is well defined, a monotone property, and a convergence theorem. Behavior of the numerical soluti...

Fluid and macromolecule secretion by submucosal glands in mammalian airways is believed to be important in normal airway physiology and in the pathophysiology of cystic fibrosis (CF). An in situ fluorescence method was applied to measure the ionic composition and viscosity of freshly secreted fluid from airway glands. Fragments of human large airways obtained at the time of lung transplantation...

The effects of variable viscosity on the flow and heat transfer in a thin film flow for a third grade fluid has been discussed. The thin film is considered on the outer side of an infinitely long vertical cylinder. The governing nonlinear differential equations of momentum and energy are solved analytically by using homotopy analysis method. The expression for the viscous dissipation and entrop...

In this article, we have presented a peristaltic flow of third order fluid in a channel with variable viscosity. The governing equations are constructed under long wave length and low Reynolds number approximations. A regular perturbation technique is applied and obtained expressions for the stream function, temperature, and concentration at a small Deborah number. The pertinent features of var...

Treating the arteries as a thin-walled and prestressed elastic tube with a stenosis and the blood as a Newtonian fluid with negligible viscosity, we have studied the amplitude modulation of nonlinear waves in such a composite system by use of the reductive perturbation method. The governing evolution equation is obtained as the variable-coefficient nonlinear Schrödinger equation. It is observed...

Intra-articular inflammation is associated with a reduction in viscosity of synovial fluid which is due to changes in hyaluronic acid rather than in the protein component of the fluid (Kulonen, 1951; Sundblad, 1953). Hyaluronic acid is a polymer of molecular weight greater than 1 x 106 made up from repeating units of N-acetyl-D-glucosamine and D-glucuronic acid. It is present in concentrations ...

Numerical Solution of hyperbolic conservation laws is important in computational fluid dynamics. In this paper, we present a new numerical method to solve the hyperbolic conservation laws, which is constructed by using the derivative of the cubic B-spline quasi-interpolation to approximate the spatial derivative of the dependent variable and first order forward difference to approximate the tim...

The present paper deals with a two-layered mathematical model for blood flow through stenotic tube in porous medium under the effect of an applied magnetic field. In this mathematical model, the blood is considered as Newtonian fluid of variable viscosity in the central region and plasma fluid which is considered as Newtonian fluid of constant viscosity in the peripheral region of the stenotic ...

Drilling fluid is the most important lifeline of the drilling operation, that main task is facilitate the cuttings removal of the drilling. There are varieties of drilling fluids such as sodium bentonite based-drilling fluid is called “mud” and drilling foam or surfactant based-drilling fluid is called “soap”. The present work aims are study on the modified drilling mud properties by using the ...