Volume 92, Issue 3
December 1983, pages 135-193
pp 135-141 December 1983
A theorem on the uniqueness of solutions, a generalised Hamilton’s principle and a reciprocal theorem for dynamical mixed boundary value problems are obtained in the context of a linear anisotropic thermoelasticity theory which predicts a finite speed of propagation of thermal signals.
pp 143-155 December 1983
The flow of two immiscible incompressible dusty viscous fluids between two parallel plates generated by a pulsating pressure gradient is investigated. Velocity fields for the fluid-particle system along with the expressions for the skin friction drag at the plates are obtained and studied graphically. It is found that there is an immediate response to pressure fluctuations in the first stream at low frequency range 0<σ≤4 being maximum at σ=4. On the contrary, the second stream is more responsive to fluctuations at relatively higher frequencies. The maximum response in this case is shifted to σ=16.
pp 157-166 December 1983
The slow motion of an incompressible, viscous electrically conducting fluid, in the presence of a uniform aligned magnetic field, past a sphere is studied. Solutions obtained by Chester, using Stokes’ approximations, and by Blerkom and Ludford, using Ossen’ approximations, are reviewed. Expressions for stream functions are obtained for MHD Stokes’ flow and Oseen’ flow respectively.
pp 167-170 December 1983
The Weyl fractional calculus is developed to obtain Laplace transforms oftq ϕ(t) (for all real values ofq) where ϕ(t) is taken in the form off(a√(t2−b2)) and certain other forms. Also, a generating function involvingH-function of several variables is established with the help of generalized Taylor series.
pp 171-190 December 1983
The conventional Maximum flow problem is modified to take account of possible requirements at intermediate nodes across which flow takes place. This is achieved by incorporating pseudo or priority arcs to act as thresholds controlling out-flow from the nodes and modifying the Ford and Fulkerson algorithm to take account of these thresholds.
Effect of introducing these threshold-requirements at intermediate nodes on the final flow into the sink in the network is examined by some numerical examples.
pp 191-193 December 1983
An improved version of the generalized Erdös-Lax theorem is stated and proved.