ABSTRACT

Calculus aids in explaining the characteristics of functions, which describe the airflow fields. This chapter concentrates on explaining some applications of calculus, including the meanings of derivatives of a function in real life, an analysis of the changes of a function with two or more variables, and simple concepts of integration. The derivative of a function expresses the rate of change of the function with its variable. It is important in actual practice to be able to identify where or when the extreme values of a function occur, because this information might be able to optimise the advantages, or minimise the risks, or indicate some limits. The functions discussed in aerodynamics are the functions of two or more variables. Typically, for example, velocity of fluids is the function of location and time. Furthermore, the variable of the location of the fluid can be a function of time as well.