The presence of a beam in an electron-ion plasma embedded in magnetic field lines entails streaming or mass motion of plasma species. It causes a kind of energy dissipation (v 0 "p Ϯ ) in the plasma, where v 0 represents (v 0 Ӷc) streaming velocity of the species in the same frame and system, transverse to the direction of the applied uniform magnetic field. A modified Chapman-Enskog collisional analysis is employed in the calculation of the flux across the magnetic field, assuming a small ratio of gyroradius to the density inhomogeneity scale length and particle mean-free path. Explicit formulas concerning diffusion and modified transport coefficients are analytically derived. The EÃB drift velocity is found to be independent of streaming velocity (v 0 ), and the electrical resistivity ( Ќ ) decreases slowly with increasing v 0 , whereas the thermoelectric coefficient ͑͒ registers marked enhancement; however, the thermal conductivity ͑K͒ decreases slowly with the rise in streaming parameters. In the limit V 0 →O, early nonstreaming results are recovered. It is also found that Ќ , and K all decrease with the increase in thermal energy. In addition, the results are of relevance to solar flares, sunspots, etc., and the influence of streaming in fusion temperature (kT→1 keV) range is equally emphasized.