mathcad functions for forced convection heat transfer calculations

Mathcad Functions for

Forced convection heat

transfer calculations: by

Dr. M. Thirumaleshwar

formerly:

Professor, Dept. of Mechanical Engineering,

St. Joseph Engg. College, Vamanjoor,

Mangalore,

India

Preface:

This file contains notes on Mathcad Functions

for Forced convection heat transfer

calculations. Some problems are also included.

These notes were prepared while teaching Heat

Transfer course to the M.Tech. students in

Mechanical Engineering Dept. of St. Joseph

Engineering College, Vamanjoor, Mangalore,

India.

It is hoped that these notes will be useful to

teachers, students, researchers and

professionals working in this field.

For students, it should be particularly useful to

study, review the subject and solve the home-

work problems.

• M. Thirumaleshwar

• August 2016

References:

1. M. Thirumaleshwar: Fundamentals of Heat & Mass Transfer,

Pearson Edu., 2006. See: https://books.google.co.in/books?id=b2238B-

AsqcC&printsec=frontcover&source=gbs_atb#v=onepage&q&f=false

• 2. Cengel Y. A. Heat Transfer: A Practical Approach, 2nd Ed.

McGraw Hill Co., 2003

• 3. Cengel, Y. A. and Ghajar, A. J., Heat and Mass Transfer -

Fundamentals and Applications, 5th Ed., McGraw-Hill, New

York, NY, 2014.

• 4. Incropera , Dewitt, Bergman, Lavine: Fundamentals of Heat

and Mass Transfer, 6th Ed., Wiley Intl.

• 5. M. Thirumaleshwar: Software Solutions to Problems on Heat

Transfer – Convection – Part-I- Forced convection - 2013

• http://bookboon.com/en/software-solutions-to-problems-on-

heat-transfer-iv-ebook

• 6. M. Thirumaleshwar: Software Solutions to Problems on Heat

Transfer – Convection – Part-II- Natural (or, free) convection –

2013

• http://bookboon.com/en/software-solutions-to-problems-on-

heat-transfer-v-ebook

• 7. Mathcad Functions for fluid properties – useful in convection heat

transfer:

• http://www.slideshare.net/tmuliya/mathcad-functions-for-fluid-properties-for-

convection-heat-transfer-calculations

Mathcad Functions for Forced convection

heat transfer calculations:

Contents:

Forced convection – boundary layer, flow over flat plates, across

cylinders, spheres and tube banks

Problems:

2A1.1 Boundary layer fundamentals, flow across flat plates etc.

Note:

(i) For derivations, see Ref: 5

(ii) For properties of fluids, see Ref: 7

Now, solve the problem:

2A1.2 Flow across cylinders and Spheres:

Let us have the following Table (Ref: Cengel) for reference:

Following is a small Mathcad program to calculate Nusselts No. for cylinder in cross flow:

Nu is written as a function of Re and Pr. Depending on the value of Re, appropriate eqn is chosen to

calculate Nu: >>>> Hilperts eqn: See the Table 7.1 given above:

2A1.3 Flow across tube banks:

Data from Cengel:

2A1.4 Flow inside tubes and ducts:

And,