The heat flux, q, from a hot body in a stationary fluid is known to be a function of the fluid’s thermal conductivity k, and kinematic viscosity, ν, the temperature difference ΔT , the length of the object L, and the product of the local gravitational constant and the thermal expansion coefficient for the fluid, gβ. Determine the number of Pi groups thatcan be formed from these six parameters.

The number of pi groups are   P =  3 pi groups            

Explanation:

From the question we are told that

    The number of parameters is  n =  6  

These parameters are  : Fluid  thermal conductivity : k

                                        Kinematic viscosity: v

                                        The temperature difference ΔT  

                                         The length of the object L

                                          Gravitational constant g

                                           Thermal expansion coefficient β

      The number of the basic dimensional unit is  N = 3

                                            Mass  M  

                                            Length L

                                             Time  T

Generally the number of  Pi groups is  mathematically evaluated as

                  P =  n  -  N

=>               P =  6  -  3

=>               P =  3 pi groups                                        

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)