Solution behaviour of flow in a non-aligned straight rotating pipe and across (cross flow over) a horizontal cylinder

Abstract

In thIS thesis under lhe title "Solution behaviour of flow in a non-aligned straight rotating pipe and across (cross flow over) a horizontal cylinder", we have studied two problems namely dominant singularity behaviour of flow in a non-aligned straight rotating pIpe and conjugate effects of heat and mass transfer on natural convection flow across an isothermal horizontal circular cylinder with chemical reaction, which belong to two different realms, Firstly, we have studied the flow in a non-aligned straight rotatlOg pipe for analyzing dominant slOgularity behaviour of the flow, Two series rclated to respectively the perturbation parameter Re" (rotational Reynolds number) and similarity parameter K (=96/leflcfI, where ReI<IS axial Reynolds number. as Rc.-+O) are developed by using algebraic programming language MAPLE, The senes are then analyzed by vanous generahzations of the approximate method. We observe that the convergence of both the series is hmited by a pair of singularities located along the imaginary aXISin the complex plane The result is not conclusive, but we show approximately the dominating behaviour of the flow near the (unphysical) singularity point, Finally, natural convection flow from an isothennal horizontal cylinder Immersed in a viscous incompressIble flUId in the presence of species concentration and chemical reactIon has been investigated. The governing boundary layer equations are transformed into a non-dimensional form and the resulting nonlinear system of partIal dIfferential equations are reduced to local non-similarity boundary layer equation" which are solved numerically by very efficient implicit finite difTerence method together with Keller box scheme, Numerical results are presented by velocity, temperature and species concentration profiles of the fluid as well as the local ,kin-frichon coefficients, local heat transfer rate and the local species concentrallon transfer rate for a wide range of chemical rcaction parameter r (= 00, 0.5, 1.0, 2.0, 4.0), buoyancy parameter 11' (= 0,0, 02, 0.6. 1,0), Schmidt number Sc (= 0.7, 10.0, 50.0, 100 0) and Prandtl number Pr (~O 7, 7.0)