Abstract
The blood flow inside a tube with multi-thromboses is mathematically investigated. The existence of these multiple thromboses restricts the blood flow in this tube and the flow is revamped by using a catheter. This non-Newtonian blood flow problem is modeled for Jeffrey fluid. The energy equation includes a notable effect of viscous dissipation. We have calculated an exact solution for the developed mathematical governing equations. These mathematical equations are solved directly by using Mathematica software. The graphical outcomes are added to discuss the results in detail. The multiple thromboses with increasing heights are evident in streamline graphs. The sinusoidally advancing wave revealed in the wall shear stress graphs consists of crest and trough with varying amplitude. The existence of multi-thrombosis in this tube is the reason for this distinct amplitude of crest and trough. Further, the viscous dissipation effects come out as a core reason for heat production instead of molecular conduction.
Highlights
The blood flow inside a tube with multi-thromboses is mathematically investigated
We have thoroughly investigated the already available research articles and this observation clearly shows that the peristaltic flow of blood within a channel having multi-thrombosis is not mathematically investigated by anyone
The existence of multi-thrombosis in this tube is the reason for this distinct amplitude of crest and trough
Summary
The peristaltic blood flow inside a geometry with multi-thrombosis is mathematically investigated. The presence of these multiple clots reduces the blood flow through the tube and the flow of blood is revamped by using a catheter (See Fig. 1). The tube’s outer surface η (z) with a traveling sinusoidal wave and the inner surface ǫ(z) having multiple clots is provided with their dimensional mathematical expressions. The dimensional form of formulated equations is. The appropriate non-dimensional boundary conditions are w = −1 at r = ǫ(z) and w = −1 at r = η(z),. The velocity “w” takes the value (minus one) in the dimensionless form. The exterior surface η(z) and the interior surface ǫ(z) with their dimensionless mathematical expressions are provided.
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