caa a22 4500 475797302 CHVBK 20180406123728.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/PL00001515 doi (NATIONALLICENCE)springer-10.1007/PL00001515 Interaction of two spheres in an unbounded stratified fluid [Elektronische Daten] [M. R. Raghavachar, N. Seshadri] Abstract.: The motion of two spherical particles translating with equal velocities in an unbounded and vertically stratified viscous fluid is considered. The force experienced by each sphere is determined using the method of matched asymptotic expansions to small values of the stratification parameter $\alpha$ . The distance between the particle centres is assumed very much larger than the particle radius a and the particles are supposed to be sufficiently separated so that the second sphere is located in the outer region of expansion of the first sphere. The lift and the drag on the spheres are found up to first order of calculation and plotted against the distance between the spheres. The effect of inertia is studied through the variation in low values of the Reynolds number whose order has been taken as $O(|\alpha|^{1/3})$. The velocity components are computed when the spheres are aligned along the axes. It has been found that the drag is increased due to stratification. The spheres are found to experience no lift when they are aligned in the horizontal plane. The presence of the second sphere is found to reduce the drag on the first sphere and the contributions of stratification and fluid inertia compensate each other exactly when the spheres are sufficiently close i.e. up to the order $O(a|\alpha|^{1/3})$ . Birkhäuser Verlag, Basel,, 2000 Key words. Stratified fluid, two spheres, drag nationallicence Raghavachar M. R. Department of Mathematics, Bharathiar University, Coimbatore 641046, India, IN aut Seshadri N. Department of Mathematics, Bharathiar University, Coimbatore 641046, India, IN aut https://doi.org/10.1007/PL00001515 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001515 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Raghavachar M. R. Department of Mathematics, Bharathiar University, Coimbatore 641046, India, IN aut NATIONALLICENCE 700 1- Seshadri N. Department of Mathematics, Bharathiar University, Coimbatore 641046, India, IN aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer