**4. Conclusion**

The problem of double diffusive convection and its associated boundary layer flow is of tremendous interest in academic research and various manufacturing and process industries because of its implications in energy and mass transfer efficiency in engineering and scientific applications. In this study, scale analysis and double diffusive free convection of low Prandtl fluid flow over an inclined wall is investigated in the presence of species concentration and thermal diffusion. The governing boundary layer equations obtained by scale analysis are numerically solved using differential transform method (DTM). The conclusions reached as a result of the parametric study conducted are presented below:

*Scaling Investigation of Low Prandtl Number Flow and Double Diffusive Heat and Mass… DOI: http://dx.doi.org/10.5772/intechopen.90896*


**Figure 7.** *Similarity profiles of dimensionless concentration for (a) N = 0, (b) N = 1.5 at Pr = 0.1 and Le = 10.*

**4. Conclusion**

*Computational Fluid Dynamics Simulations*

**Figure 6.**

**36**

The problem of double diffusive convection and its associated boundary layer flow is of tremendous interest in academic research and various manufacturing and process industries because of its implications in energy and mass transfer efficiency in engineering and scientific applications. In this study, scale analysis and double diffusive free convection of low Prandtl fluid flow over an inclined wall is investigated in the presence of species concentration and thermal diffusion. The governing boundary layer equations obtained by scale analysis are numerically solved using differential transform method (DTM). The conclusions reached as a result of the

*Similarity profiles of dimensionless temperature for (a) N = 0, (b) N = 1.5 at Pr = 0.1 and Le = 10.*

parametric study conducted are presented below:

**Nomenclature**

**Greek Symbols**

*c*0

*θ*0

*θ*0

**39**

**Subscript**

*C* chemical species concentration *D* chemical species diffusivity

*Scaling Investigation of Low Prandtl Number Flow and Double Diffusive Heat and Mass…*

*RaT* thermal Rayleigh number

*u* velocity component in x-direction *v* velocity component in y-direction

*β<sup>T</sup>* coefficient of thermal expansion *β<sup>C</sup>* coefficient of specie expansion

*δ<sup>v</sup>* velocity boundary layer thickness *δ<sup>T</sup>* thermal boundary layer thickness *δ<sup>C</sup>* concentration boundary layer thickness *ΔC* concentration difference ð Þ *C* � *C*<sup>∞</sup> *ΔT* temperature difference ð Þ *T* � *T*<sup>∞</sup>

thermal diffusivity of fluid

ð Þ 0 wall derivative of dimensionless concentration

ð Þ 0 wall derivative of dimensionless temperature

ð Þ 0 constant wall dimensionless heat flux

*N* buoyancy ratio *Nu* Nusselt number *g* gravity constant *k* thermal conductivity

*DOI: http://dx.doi.org/10.5772/intechopen.90896*

*T* temperature *Pr* Prandtl number

*Le* Lewis number

*x* horizontal axis *y* vertical axis

*η* similarity variable

*ϑ* kinematic viscosity *ρ* density of fluid

*μ* dynamic viscosity *ψ* stream function

∞ condition at infinity w condition at the wall

*θ* dimensionless temperature

#### **Figure 8.**

*Similarity profiles of dimensionless velocity, concentration, and temperature at inclination angle of 60°. (a) N = 1.5, (b) N = 0 (Pr = 0.1 and Le = 10).*


*Scaling Investigation of Low Prandtl Number Flow and Double Diffusive Heat and Mass… DOI: http://dx.doi.org/10.5772/intechopen.90896*
