Empirical correlation, Chemical Engineering

The objective of the research is to empirically develop correlations between convection heat transfer and these above mentioned non-dimensional in numbers. The simple empirical correlation of Nusselt Number with Grashof/Rayleigh numbers in natural convection from a surface is given by following equation.

Geometry:

Geometric model of cubicle and enclosures with an opening of following dimensions would be constructed using CAD software SolidWorks. Five different sizes of openings (one at a time) are evaluated for convection heat loss. The dimensions of the enclosure, openings and its locations are as follows.

Cubical Enclosure - 5m x 5m x 5m

Opening sizes        - (1mx 5m), (2m x 5m), (3m x 5m) and (4m x 5m)

                        Nu

 Nusselt Number

GrL

 Grashof number

Pr

 Prandtl number

Ra

Rayleigh number

C

Constant Coefficient

g

 acceleration due to Earth's gravity

ß

 volumetric thermal expansion coefficient (equal to approximately 1/T, for ideal fluids, where T is absolute temperature)

Ts

 surface temperature

T∞

 Temperature bulk air

 Distance between hot and cold surface in our case bottom and top surface

D

 diameter

v

 Kinematic viscosity

k

thermal conductivity of the fluid

h

convective heat transfer coefficient

ρ

Density of the fluid

T2

Temperature of the top wall

L1

length of opening

L

Total length of the enclosure

Location of opening- On one wall of the enclosure the opening starting from the bottom of the wall

Heat - Bottom surface uniformly heated by a source with 2000W of heat

CFD will be done by ANSYS or Solidworks FlowWorks

Mathematical model:

The target equation is Nu= C. RaLx . Pry . (L1/L)

The value of Nu and Ra obtained for the simulation will be plotted. From this equation we can find the values of C, x and y which will give us the required relation.

The simple empirical correlation of Nusselt Number with Grashof/Rayleigh numbers in natural convection from a surface is given by following equation.

     Nu= f {GrL. Pr} (Nusselt Number is a function of Grash of & Prandtl number)

                        Ra = GrL. Pr

2028_empirical correlation 1.png

632_empirical correlation 2.png

Posted Date: 3/9/2013 2:22:21 AM | Location : United States







Related Discussions:- Empirical correlation, Assignment Help, Ask Question on Empirical correlation, Get Answer, Expert's Help, Empirical correlation Discussions

Write discussion on Empirical correlation
Your posts are moderated
Related Questions

The degree of freedom when ice water and water vapour coexist in equilibrium is zero


Applications of Diffusion is of fundamental significance in many disciplines of mechanical, electronics, chemistry, and biology. Some example applications of diffusion: Sin

What are the design considerations for a piping system for the transfer of slurries? The below points should be considered for designing a piping system to carry slurries: >

iwant to check first if you can write a report about project that inovlves dynamic simulation before submitting my assignment.

If 2 grammes of zinc granules was reacted with excesss hydrocloric acid to evolued hydrogen gas which came to completion after 5 minutes. Calculate the rate of the chemical in gram


Consider a process for the partial oxidation of benzene to produce maleic anhydride (C4H4O4) using air. There are two reactions to be concerned with: The first partially oxidizes t

#What else can chemical seasoning do to timber? I need heaps more information