Physical quantities for defining the generalized power.

The energetic aspects can be included in the study by introducing a new generalized power, [PI] = [alpha] x [tau] defined as a product of two physical quantities across two points ([alpha]) and through a single point ([tau]) respectively.

In this paper, we obtain the relation between Logarithmic mean, Identric mean with series and pth - Logarithmic mean, Generalized power type Heron mean with Convolution product of sequences

Let a, b > 0, k is a natural number and r is a real number, then the generalized power type Heron mean [H.

Reed and Pilehvari (1993) proposed modifications to the diameters of the conduits to account for the non-Newtonian effect, using the generalized power law model of Metzner and Reed (1955) and the friction factor suggested for pipe flow by Dodge and Metzner (1959).

Equations (14) and (15) fully define the generalized power law parameters of Herschel-Bulkley fluids flowing in an annulus, modelled as a slot, and are functions of the Herschel-Bulkley rheological parameters, [[tau].