Viscoelastic fluid flow driven by non-propagative membrane contraction

• Published in: Journal of physics. Conference series Vol. 1849; no. 1; p. 12018
• Main Authors: Bhandari, D S, Tripathi, Dharmendra
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.03.2021
• Subjects: Biomedical materials; Biomimetics; Boundary conditions; Computational fluid dynamics; Fluid flow; Insects; Mathematical models; Membranes; Nonlinear differential equations; Parameters; Physics; Pressure distribution; Reynolds number; Stress concentration; Viscoelastic fluids; Viscoelasticity
• DOI: 10.1088/1742-6596/1849/1/012018
• ISSN: 1742-6588

A viscoelastic fluid flow model is develoved to study the flow analysis under the application of membrane contraction followed by the contraction and relaxation. This analysis is carried out subject to slip boundary condition. In particular, study of the kinematic of membrane motion in the insect’s tracheal tube that induces the fluid flow. The impact of a single tracheal tube’s membrane contraction has been computed mathematically, which regulated as a wall channel geometrically. Jeffrey fluid model is considered to see the viscoelastic behaviour of the fluids. The lubrication theory is adopted at a low Reynolds number for the non-linear differential equations. The pertinent influences of critical parameters on the pressure distribution have been graphically depicted. It is observed that an increase in the Jeffrey fluid parameter causes the reduction in pressure difference. This model is a highly bioinspired pumping mechanism. This model’s outcomes can be very useful in the designs of smart pumps for various biomedical applications.