Research Article Numerical Solutions for Laminar Boundary Layer Nanofluid Flow along with a Moving Cylinder with Heat Generation, Thermal Radiation, and Slip Parameter Titilayo Morenike Agbaje and Gilbert Makanda Center for Sustainable Smart Cities, Department of Mathematical and Physical Sciences, Central University of Technology, Free State, Private Bag X20539, Bloemfontein 9300, South Africa Correspondence should be addressed to Titilayo Morenike Agbaje; titilayoagbaje@gmail.com Received 15 April 2021; Accepted 5 November 2021; Published 1 December 2021 Academic Editor: Fasma Diele Copyright © 2021 Titilayo Morenike Agbaje and Gilbert Makanda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The investigation of the numerical solution of the laminar boundary layer flow along with a moving cylinder with heat generation, thermal radiation, and surface slip effect is carried out. The fluid mathematical model developed from the Navier-Stokes equations resulted in a system of partial differential equations which were then solved by the multidomain bivariate spectral quasilinearization method (MD-BSQLM). The results show that increasing the velocity slip factor results in an enhanced increase in velocity and temperature profiles. Increasing the heat generation parameter increases temperature profiles; increasing the radiation parameter and the Eckert numbers both increase the temperature profiles. The concentration profiles decrease with increasing radial coordinate. Increasing the Brownian motion and the thermophoresis parameter both destabilizes the concentration profiles. Increasing the Schmidt number reduces temperature profiles. The effect of increasing selected parameters: the velocity slip, Brownian motion, and the radiation parameter on all residual errors show that these errors do not deteriorate. This shows that the MD-BSQLM is very accurate and robust. The method was compared with similar results in the literature and was found to be in excellent agreement. 1. Introduction The boundary layer flow on heat and mass transfer has been overmoving, and stretching surfaces have been studied and remained an active area in the past decade. This is because it has numerous applications in areas such as hot rolling, processes of polymer extrusions, wire drawing, extrusions in aerodynamic plastic sheets, process of condensation in metallic plates during cooling, and many other applications. According to Poply et al. [1], the study of flows in cylinders is considered two-dimensional when the cylinder radius is much larger than the boundary layer thickness. For lean and thin cylinders, the two dimensions may be of the same order; in this case, the flow is referred to as axisymmetric rather than two-dimensional. These dimensions affect veloc- ity, temperature, and concentration profiles which in turn affect the skin friction coefficient. In light of the importance of laminar boundary layer fluid flow, many researchers have considered several flow geometries with different boundary conditions, using many different techniques to solve similar models. These include the research carried out by Shateyi and Marewo [2] who used the successive linearization method (SRM) to solve a problem on laminar boundary layer flow and heat transfer in nonlinear differential equations; they also considered stretching cylinder, porous media, and thermal conductivity. In their investigation, they observed that the curvature sig- nificantly affects temperature and velocity fields. Also, both the skin friction coefficient and local Nusselt number increase as the curvature increases. Rangi and Naseem [3] used the Keller-box technique to solve the equations describ- ing boundary layer flow of heat transfer with nonconstant thermal conductivity along with a stretching cylinder. Their results also showed that the cylinder curvature affects Hindawi Abstract and Applied Analysis Volume 2021, Article ID 8288534, 18 pages https://doi.org/10.1155/2021/8288534