**Author details**

**5. Outlook and some concluding remarks**

*Heat Transfer - Design, Experimentation and Applications*

The authors declare no conflict of interest.

exhaustive.

**Figure 4.**

**Conflict of interest**

**Nomenclature**

**100**

*Ac* Cross-sectional area *Bi* Biot number *E* Aspect ratio

The interest in heat transfer through fins will continue unabated. This is brought about by applications of fins in engineering appliances. The solutions to the problems give insight into effectiveness and efficiency of different fins. In this chapter we provided a summary of some of the work in recent times. In particular, we reviewed the exact and approximate analytical solutions. We demonstrated that although the models describing hear transfer seem to be simple, they are in fact challenging to solve exactly. When constructed, the exact solutions are used as benchmarks for the approximate solutions. It appears that some models including contracting or expanding have attracted some attention. The analysis of these problems provide insight into heat transfer phenomena and assist in the design of fins. The challenge is the construction of exact solutions, however one may construct approximate analytical solutions. The problems discussed here are not

*A temperature distribution in a rectangular fin for varying values of n, M* ¼ 1*:*7*.(see also [36]).*

Raseelo Joel Moitsheki<sup>1</sup> \*, Partner Luyanda Ndlovu<sup>1</sup> and Basetsana Pauline Ntsime<sup>2</sup>

1 School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa

2 Department of Mathematical Science, College of Science, Engineering and Technology, University of South Africa, Florida, South Africa

\*Address all correspondence to: raseelo.moitsheki@wits.ac.za

© 2021 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/ by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
