The present paper presents a mathematical probe for incompressible steady two-dimensional flow of Williamson fluid along an exponentially stretching cylinder. Derived PDEs for this work are changed into ODEs by adopting right transformations. Then numerical procedure is carried out by Shooting Technique in accordance with the RK-Method of order six. The influence of the Reynold’s number and Weissenberg’s numbers on the velocity profile is analyzed, and the variation in skin friction coefficient is explored. The results are elaborated upon through graphs and tables. The validity of the results is presented by comparing them with the previous works.

The present study is about the numerical analysis of Casson fluid’s boundary layer slip flow beneath the impact of suction/blowing past a permeable cylinder stretching exponentially. The modeled partial differential equations are transformed to nonlinear ordinary differential equations by applying the appropriate nonlinear transformation. The Keller box procedure, a tool famous for its numerical achievements, is used. The impact of relevant physical parameters like suction, Casson fluid, and Reynolds number and slip parameters on temperature and velocity distribution is studied and shown through graphs. The change in physical quantities like the Nusselt number and the skin friction coefficient with respect to variation of the parameters mentioned earlier was also examined. Their values are given in the form of a table. To ensure authenticity of the numerical procedure, outcomes of the present investigations are compared with previous works, and strong agreement is noticed.

The objective of this study is to probe the effects of boundary layer flow over an exponentially stretching cylinder having nonlinear velocity placed in a porous medium. The modeled partial differential equations are transformed into nonlinear ordinary differential equations by applying suitable similarity transformations. A numerical solution is attained using the finite difference Keller–Box method. The physical parameters and skin friction coefficients are studied on the velocity profile. The fluid velocity and skin friction coefficient decrease with the increase in Re and κ, while a reverse behavior is reported for ɛ.