TY - JOUR N2 - The analysis of unsteady axial symmetric flows of an incompressible and electrically conducting Casson fluid over a vertical cylinder with time-variable temperature, under influence of an external transversely magnetic field has been carried out. The mathematical model is build based on the time-fractional differential equation of Cattaneoâ??s law with Caputo derivative to describe thermal transport. Based on the model, we can obtain the effect of temperature gradient history on heat transport and fluid motion. Besides, the generalized mathematical model that we build can be used to achieve the Classical Cattaneoâ??s law. Comparison between the generalized Cattaneo and the classical Cattaneo was examined to optimize the heat transport model. © 2022, Penerbit Akademia Baru. All rights reserved. IS - 12 ID - scholars16115 Y1 - 2022/// A1 - Osman, H.I. A1 - Ching, D.L.C. A1 - Omar, N.F.M. A1 - Vieru, D. A1 - Ismail, Z. JF - CFD Letters UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85142349260&doi=10.37934%2fcfdl.14.12.3851&partnerID=40&md5=0b930aacda3488cb83afc342d81f2b6d VL - 14 AV - none N1 - cited By 0 TI - Generalized Cattaneoâ??s Law over a Vertical Cylinder on Casson Fluids SP - 38 PB - Penerbit Akademia Baru SN - 21801363 EP - 51 ER -