General Analysis of Steady Laminar Mixed Convection Heat Transfer on Vertical Slender Cylinders

Wang, T.-Y.; Kleinstreuer, Clement

doi:10.1115/1.3250690

Cited by 31 publications

(10 citation statements)

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“…In laminar flow, the buoyancy parameter is highly effective within the boundary layer, formed during the moving and porous cylinder of non-uniform radius. 7)- (11) for various k 1 of these equations.…”

Section: Graphs and Discussionmentioning

confidence: 97%

Forced convection flow over a moving porous and non-uniform cylinder of variable thickness

Jan

Marwat

Rehman

2022

Advances in Mechanical Engineering

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Forced convection flow of viscous fluid over a moving, porous, and heated cylinder of variable thickness is studied in this paper. The non-uniform cylinder is placed vertically in a quiescent fluid. All the field quantities (the normal and axial velocities and temperature), defined at the wall or surface of cylinder, are variable and may have non-linear form. An appropriate set of transformations is developed on the analogies of systematic classical symmetries for a system of partial differential equations (PDE’s), whereas, they are equipped with the representative of each velocity component, temperature function, and similarity variable. However, the PDE’s along with the boundary conditions (BC’s) are reduced into a system of boundary value problem (BVP) of ordinary differential equations (ODE’s) by using these new and unseen similarity variables. The system of non-linear coupled ODE’s, combined with the BC’s is solved, whereas, the numerical results are obtained for different values of the existing governing parameters. All the field quantities, skin friction, rate of heat transfer at the surface of the cylinder are evaluated with the help of [Formula: see text] package of MATLAB and the results are shown in different graphs. The present simulation generalizes all types of forced convection flow problems, over a porous and heated cylinder of variable (uniform) radius, when it is stretched (shrunk) with linear and non-linear (uniform) velocity. However, the simulated problem gives rise to a new set of problems and that they are valid for non-linear (linear and uniform) injection (suction) velocity.

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Section: Graphs and Discussionmentioning

confidence: 97%

Forced convection flow over a moving porous and non-uniform cylinder of variable thickness

Jan

Marwat

Rehman

2022

Advances in Mechanical Engineering

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“…They obtained the solution by using the local non-similarity method. Further, Bui and Cebeci [7], Lee et al [8] Wang and Kleinstruver [9], and more recently, Takhar et al [10] have solved this problem using an implicit finite difference scheme. Heckel et al [11] have discussed the variable temperature effects on the mixed convection flow over a vertical cylinder.…”

Section: Introductionmentioning

confidence: 97%

Unsteady mixed convection flow from a slender cylinder due to impulsive change in wall velocity and temperature

Patil¹,

Pop

2013

THERM SCI

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An unsteady mixed convection flow of a viscous incompressible fluid over a non-permeable linear stretching vertical slender cylinder is considered to investigate the combined effects of buoyancy force and thermal diffusion. It is assumed that the slender cylinder is in line with the flow. The unsteadiness in the flow and temperature fields is caused due to the impulsive change in the wall velocity and wall temperature of linearly stretching vertical slender cylinder. The effect of surface curvature is also taken into account, particularly for the applications as wire and fiber drawing where exact predictions are expected. The governing boundary layer equations are transformed into a non-dimensional form by a group of non-similar transformations. The resulting system of coupled non-linear partial differential equations is solved by an implicit finite difference scheme in combination with the quasi-linearization technique. Numerical computations are performed to understand the physical situations of linear stretching surface for different values of parameters to display the velocity and temperature profiles graphically. The numerical results for the local skin-friction coefficient and local Nusselt number are also presented. Present results are compared with previously published work and are found to be in excellent agreement.

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“…Bui and Cebeci [10] studied combined free and forced convection in vertical slender cylinder. Wang and Kleinstruver [11] analysed steady Laminar mixed convection heat transfer on vertical slender cylinders. Agrawal et al [12] studied effects of MHD free convection and mass transfer on the flow past a vibrating infinite vertical circular cylinder.…”

Section: Introductionmentioning

confidence: 99%

MHD Flow, Heat and Mass Transfer due to Axially Moving Cylinder in Presence of Thermal Diffusion, Radiation and Chemical Reactions in a Binary Fluid Mixture

RSharma¹,

Konwar²

2015

IJCA

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In the present paper we have studied the effects of magnetic field, thermal diffusion, thermal radiation and chemical reaction on velocity, temperature and concentration fields about an axially moving isothermal semi infinite solid vertical cylinder in two dimensional incompressible viscous binary fluid mixtures. The governing equations of continuity, momentum, energy and concentration are transformed into non similar boundary layer equations and are solved by using a regular perturbation method together with Matlab's built in solver bvp4c. Numerical solutions for axial velocity component, temperature and concentration of the rarer and lighter component of the binary fluid mixture are obtained on the basis of boundary layer approximation and presented graphically for axial curvature parameter, magnetic field parameter, thermal diffusion parameter, radiation parameter and chemical reaction parameter. It has been found that these parameters affect considerably the flow characteristics. The problem under consideration reduces to the flat plate case when the curvature parameter is absent.

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General Analysis of Steady Laminar Mixed Convection Heat Transfer on Vertical Slender Cylinders

Cited by 31 publications

References 0 publications

Forced convection flow over a moving porous and non-uniform cylinder of variable thickness

Forced convection flow over a moving porous and non-uniform cylinder of variable thickness

Unsteady mixed convection flow from a slender cylinder due to impulsive change in wall velocity and temperature

MHD Flow, Heat and Mass Transfer due to Axially Moving Cylinder in Presence of Thermal Diffusion, Radiation and Chemical Reactions in a Binary Fluid Mixture

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