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This book is most helpful those who are doing the research work in the field of Bio fluid mechanics. In this book I have concentrated the topic of Thermophoresis and Brownian Motion Effects on MHD Electro-Osmotic Jeffrey NanoFluid Peristaltic Flow in Asymmetric Rotating Microchannel. This study investigates with the thermophoresis and Brownian motion effects on MHD electro-osmotic Jeffrey nanofluid peristaltic flow in an asymmetric microchannel. Well established large wavelength and small Reynolds number approximations are invoked. Numerical solutions have been evaluated for the stream function, nanofluid velocity, temperature and nanoparticle phenomena. The computed results for nanofluid velocity, temperature and concentration fields are utilized to determine the skin-friction, Nusselt number and Sherwood number. The graphical results have been presented and discussed for various involved parameters. The novel features of nanofluids made them potentially significant in heat and mass transfer mechanism occurring in medical and industrial processes like microelectronics, pharmaceutical processes, hybrid engines, thermal management of vehicles and refrigerator.