Making use of a generalized turbulent velocity distribution for power law fluids, a Blasius type equation was derived which explicitly relates the friction factor to a generalized Reynolds number in fully developed pipe flow. Comparison of the equation with experimental data shows an agreement of ...
The scientific results for non-dimensionalized equation are presented for both SWCNT/MWCNT cases. Accouterments of various predominant restrictions on flow and thermal fields are scanned. Computation estimation for friction factor and local Nusselt number are also executed. It is found that, the ...
return end %reynolds number function re = reynolds(x) if(x<=l) re = u_inf*x/mu; else error(“x is greater than lenth of plate”); end return end MATLAB code for solving Falkner-Skan equation using rk4 method and estimating parameters CODE % let , f’=g; % f’‘=h; % f’‘...
α2d is then solved via the compressible linear stability equation and found to be 0.2992−5.0954×10−3i. (2) Numerical results The skin friction coefficient Cf is defined by: (12.18)Cf=τw12ρ∞U∞2 where τw represents the local wall shear stress, which is calculated from the ...
Using (6) and (14) in equation (13), the following dimensionless form of the skin friction coefficient and the local Nusselt number are obtained [35]:(15)Rex11/2CF=μHBnf/μBfsin(ΩA)+cos(ΩA)τAF″(0),Rex1−1/2Nux1=−kHBnf/kBfsin(ΩA)+cos(ΩA)τAθ′(0).where the...
The objective of this paper is to find the relationship between the Blasius formula for friction factor and the Navier鈥揝tokes Fractional equation. The renormalization that produces changes of scale of the boundary layer equations contains the essential hypothesis of the thinness of said layer, a ...
Blasius flat plate with viscous dissipation in the presence of suction or injection effects in the boundary layer of a viscoelastic fluid.Design/methodology/approach-The governing partial differential equations are derived as a first order ordinary differential equation using similarity (Blasius) variables...
BLASIUS equationHEAT transferCHEMICAL reactionsTime-dependent, two-dimensional Sakiadis flow of quiescent fluid is considered. The flow is induced by stationary flat plate via uniform free-stream (Blasius flow). The variable conductivity and viscosity ratio parameters and non-linear chemical reaction are...
In Equation (5), the equation for the radiative heat flow is provided by the following: 𝑞𝑟=−4𝜎*3𝑘*∂𝑇4∂𝑧=−16𝜎*3𝑘*𝑇3∂𝑇∂𝑧=16𝜎*3(𝜌𝑐𝑝)𝑡ℎ𝑛𝑓𝑘*[𝑇3∂2𝑇 ∂𝑧2+3𝑇2(∂𝑇∂𝑧)2], (8) Now introdu...
In Equation (5), the equation for the radiative heat flow is provided by the following: q r = − 4 σ * 3 k * ∂ T 4 ∂ z = − 16 σ * 3 k * T 3 ∂ T ∂ z = 16 σ * 3 ρ c p t h n f k * T 3 ∂ 2 T ∂ z 2 + 3 T 2 ∂ T ∂ z ...