This file contains notes on Mathcad Functions for Natural (or, free) 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. Contents: Free convection from vertical plates and cylinders, horizontal plates, cylinders and spheres, enclosed spaces, rotating cylinders, disks and spheres. Finned surfaces. Combined Natural and Forced convection.

1. Mathcad Functions for
Natural (or, free)
convection heat
transfer calculations:
by
Dr. M. Thirumaleshwar
formerly:
Professor, Dept. of Mechanical Engineering,
St. Joseph Engg. College, Vamanjoor,
Mangalore,
India

2. Preface:
This file contains notes on Mathcad Functions
for Natural (or, free) 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

3. 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 and Mass Transfer: 3rd Ed. McGraw Hill Co.,
3. Incropera , Dewitt, Bergman, Lavine: Fundamentals of Heat
and Mass Transfer, 6th
Ed., Wiley Intl.
4. Cengel, Y. A. and Ghajar, A. J., Heat and Mass Transfer -
Fundamentals and Applications, 5th Ed., McGraw-Hill, New
York, NY, 2014.
5. 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
6. 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

4. Mathcad Functions for Natural (or Free)
convection heat transfer calculations:
Contents:

5. 2A2.1 Natural convection formulas:

18. Problems:
2A2.2 Natural convection from vertical plates, cylinders:

22. Now, write Mathcd Functions for properties of Water:

29. And:

40. 2A2.3 Natural convection from enclosed spaces:

41. For Air:

44. For Air:

50. 2A2.4 Natural convection from rotating cylinders..etc.

53. 2A2.5 Natural convection from finned surfaces:

60. 2A2.6 Combined Natural and Forced convection:

75. Mathcad Solution:

78. First, write Mathcad Functions for properties of CO2:

79. Extract each property as a vector:
Now, write the Functions:

81. Now, solve the Problem: