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)
