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This book focuses on research related to heat and mass transfer problems in various geometries with different physical parameters. Governing partial differential equations are converted into coupled ordinary differential equations and solved using numerical techniques supported by MATLAB. Chapter 1 introduces the topic, literature, basic concepts related to heat and mass transfer, boundary-layer theory and relevant equations. Chapter 2 investigates the MHD Darcy-Forchheimer Jeffrey nanofluid flow over a nonlinear radial stretching sheet with radiation and heat generation/absorption. Chapter 3 explores the numerical study of Carreau fluid over a porous vertical microchannel, entropy generation in heat transport. Chapter 4 analyzes thermally radiative buoyancy flow influenced by higher-order chemical reactions and microbial suspensions. Chapter 5 presents the radiative flow of magneto Casson fluid via a vertical microchannel, focusing on steady entropy generation fluid. Across chapters, PDEs are transformed into ODEs using similarity transformations, solving two-point BVPs. Results are graphically and tabularly presented, showcasing velocity, temperature, and concentration profiles.