Similarity Solution of the Partial Differential Equations that model water/magnetite nanofluid flow and heat transfer on a stretchable rotating disk subject to thermal radiation and Lorentz force

• Published in: Numerical methods for partial differential equations Vol. 38; no. 3; pp. 693 - 718
• Main Authors: , Usman, Lin, Ping, Ghaffari, Abuzar, Mustafa, Irfan
• Format: Journal Article
• Language: English
• Published: Hoboken, USA John Wiley & Sons, Inc 01.05.2022; Wiley Subscription Services, Inc
• Subjects: Blood flow; Boundary layer flow; Boundary layer thickness; ferrofluid; Ferrofluids; Fluid flow; Heat transfer; Iron oxides; Lorentz force; Magnetite; Mathematical models; Nanofluids; Nanoparticles; Newtonian fluids; nonlinear radiation; Ordinary differential equations; Partial differential equations; Power; Power‐law fluid; Prandtl number; Pressure drop; Radiation; Rotating disks; Shear thickening (liquids); Shear thinning (liquids); shooting method; Similarity solutions; Stagnation point; stagnation point boundary layer flow; stretching and rotating disk; Thermal radiation; Thickening
• ISSN: 0749-159X; 1098-2426
• DOI: 10.1002/num.22677

Among other non‐Newtonian fluid models, power‐law fluid has gained much acceptance because of its some powerful applications such as pressure drop calculation in the drilling industry, utilization of blood flow for red cells in plasma and static as well as dynamic filtration. The aim is to analyze theoretically the steady three‐dimensional boundary layer flow near the stagnation point and heat transfer of power‐law ferrofluid over rotatory stretchable. The effect of Lorentz force on the flow and the influence of nonlinear thermal radiation upon the temperature is also incorporated. For this phenomenon, magnetite (Fe3O4) is considered as ferrofluid particles which are mixed with the base fluid (water). Physically modeled partial differential equations (PDEs) are lessened to ordinary differential equations (ODEs) by the support of precise similarity transformation and then the shooting method is implemented to obtain the solution of the resultant ODEs. A comprehensive tabular comparison between present and previously existing outcomes is made. From an overall exploration it can be concluded that the cross‐sectional flow for shear thinning and shear thickening is examined upon increasing the concentration of the nanoparticles and flow behaving index of power‐law. The Lorentz force retards the flow near the disk due to which velocity components decrease. Also, the temperature escalates for nonlinear radiation and this escalation is more prominent for shear thinning. Furthermore, the Prandtl number helps in controlling the boundary layer thickness.