Title of article :
DTM-BF METHOD FOR THE FLOW AND HEAT TRANSFER OVER A NONLINEARLY STRETCHING SHEET WITH NANOFLUIDS
Author/Authors :
Limei, Cao University of Science and Technology - Department of Mathematics, China , Yina, Sun University of Science and Technology - Department of Mathematics, China , Yanan, Shen University of Science and Technology - Department of Mathematics, China , Xinhui, Si Chaoyang Demonstration School, China
Abstract :
This paper investigates an analytical analysis for the flow and heat transfer in a viscous fluid over a nonlinear stretching sheet. The governing partial differential equations are transformed into coupled nonlinear differential equations by introducing a similarity transformation. The asymptotic analytical solutions are obtained by using differential transform method-basic functions (DTM-BF). Four types of nanofluids, namely Cu-water, Ag-water,AI2O3 -water and TIO2-water were studied. The influence of the nanoparticle volume fraction ϕ , the nonlinear stretching parameter n , Prandtl number Pr, Eckert number Ec and different nanoparticles on the velocity and temperature are discussed and shown graphically. The comparison with the numerical results is presented and it is found to be in excellent agreement.
Keywords :
heat and mass transfer , asymptotic expansion , volume fraction influence , nanoparticle reaction
Journal title :
mathematical and computational applications
Journal title :
mathematical and computational applications
