Abstract We affirmatively solve the analogue of Lord Rayleigh’s conjecture on Riemannian manifolds with positive Ricci curvature for any clamped plates in 2 and 3 dimensions, sufficiently large dimensions beyond 3. These results complement those from flat (Ashbaugh Benguria Duke Math J 78(1):1–17, 1995; Nadirashvili Arch Ration Mech Anal 129(1):1–10, 1995) negatively curved (Kristály Adv 367:10...

in the present study, natural convective heat transfer in a partitioned square cavity utilizing nanofluids is studied. the vertical left and right walls are considered as the hot and cold walls, respectively and the partitions assumed to be adiabatic. the nanofluid used in this study is al2o3 with the volume fraction of 20%. it is assumed that nanofluid is a single phase fluid. fluent 6.3.26 is...