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Research Article Volume 10 Issue 1
Oscillatory flow of a bio-magnetic viscoelastic fluid in a channel with stretching walls
Raju Haldar, Gopal Chandra Shit, J C Misra
Mathematics Department, Sammilani Mahavidyalaya, India
Mathematics Department, Jadavpur University, India
Mathematics Department, Indian Institute of Engineering Science and Technology, India
Received: April 02, 2026 | Published: May 18, 2026
Citation: Haldar R, Shit GC, Misra JC. Oscillatory flow of a bio-magnetic viscoelastic fluid in a channel with stretching walls. MOJ App Bio Biomech. 2026;10(1):60-61. DOI: 10.15406/mojabb.2026.10.00242
Abstract
To understand the role of the magnetic field on blood flow in the therapeutic heating of tumors, this study investigates the flow characteristics of a biomagnetic viscoelastic fluid within a channel bounded by stretched walls that are undergoing an oscillatory motion. Under the influence of an externally applied magnetic field generated by a magnetic dipole, blood is modeled as a non-Newtonian fluid using Walter’s liquid B model, and its magnetization is assumed to vary linearly with temperature, reflecting ferrofluid behavior. The wall motion is prescribed as oscillatory with a specified velocity profile. Through appropriate similarity transformations, the governing partial differential equations are transformed into a set of coupled, nonlinear ordinary differential equations, which are solved numerically using a finite difference method in conjunction with Newton’s linearization technique. The resulting simulations provide detailed insights into velocity, pressure, and temperature fields, as well as skin friction and heat transfer rates. Parametric analysis reveals the significant influence of magnetic field strength and viscoelastic properties on the flow dynamics. The findings suggest that the magnetic dipole configuration could play a crucial role in controlling blood flow in arteries, with potential applications in targeted hyperthermia-based cancer therapies.
Keywords: blood flow, viscoelasticity, flow oscillation, stretchable vessel walls
©2026 Haldar, et al. This is an open access article distributed under the terms of the, which permits unrestricted use, distribution, and build upon your work non-commercially.
