Physical Science International Journal 25(4): 1-14, 2021; Article no.PSIJ.71601 ISSN: 2348-0130 Dynamics of Multiple Slip and Thermal Radiation on Hydromagnetic Casson Nanofluid Flow over a Nonlinear Porous Stretchable Surface O. E. Omotola 1 and E. O. Fatunmbi 2 ∗ 1 Poly International College, Ilaro, Nigeria. 2 Department of Mathematics and Statistics, Federal Polytechnic, Ilaro, Nigeria. Authors’ contributions This work was carried out in collaboration between both authors. Author EOF designed the study, formulation and Mathematical Modelling of the problem and wrote the first draft of the manuscript. Author OEO provided solution and validation of the problem, interpreted and discussed the results as well as the literature searches. Both authors read and approved the final manuscript. Article Information DOI: 10.9734/PSIJ/2021/v25i430249 Editor(s): (1) Prof. Bheemappa Suresha, The National Institute of Engineering, India. (2) Dr. Thomas F. George, University of Missouri-St. Louis, USA. Reviewers: (1) Aladji Kamagate, Technologiques de l’Information et de la Communication, Cˆ ote d’Ivoire. (2) Mahmmoud Abdalla Mahmmoud Salih, Future University, Sudan. Complete Peer review History: http://www.sdiarticle4.com/review-history/71601 Received 24 May 2021 Accepted 29 July 2021 Original Research Article Published 10 August 2021 ABSTRACT Aims/ Objectives: This paper examines the dynamics of multiple slip together with thermal radiation effects on the transport of a magnetohydrodynamic Casson nanofluid passing a nonlinear porous stretchable sheet in the existence of viscous dissipation and chemical reaction. Study Design: Cross-sectional study. Methodology: The outlining equations modeling the transport phenomenon are simplified into nonlinear ordinary differential equations via the approach of similarity transformations and subsequently analyzed numerically by shooting techniques alongside Runge-Kutta Fehlberg scheme. Results: The outcomes of decisive parameters affecting the flow, heat, and nanoparticle concentration are graphically deliberated. From the investigation, it is revealed that Brownian motion, viscous dissipation, and thermophoresis parameters augment the thermal boundary layer and propel an upward growth in the temperature profile. Furthermore, the slip factor decelerates the flow and heat dissipation while the fluid movement drags in the existence of the magnetic field. *Corresponding author: E-mail: ephesus.fatunmbi@federalpolyilaro.edu.ng;