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Regular fluid (water, ethylene glycol, propylene glycol and oils) is a poor heat carrier due to low thermal conductivity. However, when nanometer-sized particles (1 to 100 nm) are suspended in regular fluid, called nanofluid, its thermal conductivity is sufficiently enhanced and as a results heat transfer rate increased. Nanofluids depend on size as well as volume fraction of nanoparticles in the base fluid, and have useful industrial applications. Based on such a motivation, this thesis aims to study heat transfer enhancement and magnetohydrodynamic flow in water-based Brinkman-type nanofluid with thermal radiation. First part of this work focuses on magnetohydrodynamic flow of water-based Brinkman-type nanofluid over a vertical plate with porosity, variable surface velocity, temperature and concentration. . Rate of heat transfer increased with increasing nanoparticle volume fraction and decreased with increasing thermal radiation. Skin-friction coefficient decreased with increasing nanoparticle volume fraction and increased with increasing Brinkman parameter.