Steady-State Solutions for Two Mixed Initial-Boundary Value Problems Which Describe Isothermal Motions of Burgers’ Fluids: Application

Constantin Fetecau, N. Ameer Ahammad, Dumitru Vieru and Nehad Ali Shah ()
Additional contact information
Constantin Fetecau: Section of Mathematics, Academy of Romanian Scientists, 050094 Bucharest, Romania
N. Ameer Ahammad: Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia
Dumitru Vieru: Department of Theoretical Mechanics, Technical University of Iasi, 700050 Iasi, Romania
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea

Mathematics, 2022, vol. 10, issue 19, 1-10

Abstract: Steady-state solutions of two mixed initial-boundary value problems are presented in equivalent forms. They describe isothermal permanent motions of incompressible Burgers’ fluids over an infinite flat plate that applies time-dependent shear stresses to the fluid. More exactly, they are the first exact solutions for motions of Burgers’ fluids with differential expressions of the shear stress or velocity on the boundary. The obtained results are designed to make equivalent solutions for motions caused by an infinite plate moving in its plane at velocities that seem to be similar to previous shear stresses. It is simple to limit all results for the purpose of providing efficient results for incompressible Oldroyd-B, Maxwell, second grade and Newtonian fluids undergoing comparable motions. They may also be used to estimate how long it will take to get to a steady or permanent state.

Keywords: steady-state solutions; mixed initial-boundary value problems; Burgers’ fluids (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/19/3681/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/19/3681/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:19:p:3681-:d:936265

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().