Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary
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Varunkumar Merugu
and
Muthu Poosan
Abstract
In this paper, a mathematical model for the steady laminar, incompressible and Newtonian fluid flow in a proximal renal tubule is presented. In this, the tubule is considered as a tapered tube with double constriction and permeable boundary. The impact of the fluid reabsorption across the tubule wall is assumed as the occurrence of exponentially decreasing flow at each cross-section. The present model is formulated through the Navier–Stokes equations, under the appropriate boundary conditions. A regular perturbation technique is used to obtain the approximate solutions. This study brings out the significant impacts of reabsorption coefficient (α) and tapered angle (ϕ) on the flow variables such as velocities, the drop in pressure, and wall shear stress are discussed through graphs. The streamlines are also plotted to understand the influence of the reabsorption and tapering phenomena on the flow.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare that they have no conflict of interest.
References
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Articles in the same Issue
- Frontmatter
- Original Research Article
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- Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor–immune interactions
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- Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay
- A linearized finite difference scheme for time–space fractional nonlinear diffusion-wave equations with initial singularity
- Ground state solutions of Schrödinger system with fractional p-Laplacian
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- Hilfer fractional stochastic evolution equations on infinite interval
- Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths
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- Theoretical assessment of the impact of awareness programs on cholera transmission dynamic
- Theoretical and numerical analysis of a prey–predator model (3-species) in the frame of generalized Mittag-Leffler law
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