Given the second order non linear BVP
(')^n = 1 + γ θ .. 1
θ" + (λ +n+1/ 2n +1) θ' - n (2 λ +1/2n+ 1) * ' θ = 0 2
Prime in the above eqns describe partial differentiation with respect to η
Boundary conditions are
(0) = 0, θ'(0) = -1
' (∞) = 0, θ(∞) = 0
where η is a function of x & y given by
Similarity variable, η = x ^ (λ-n/2n+1) * y
Θ is a dimensionless temperature
is a dimensionless stream function given by
Stream function, ψ = x ^ (λ+n+1/2n+1) * (η)
how to solve the above system of PD eqns
the above system of equations are related to mixed convection of non newtonian fluids
n is the viscosity index
I haven't confused with n's and η's anywhere
I think that equations are differentiable with respect to η and η is function of x and y
So the equations are PDEs
Actually these equations are related to boundary layer mixed convection of non Newtonian fluids on vertical plate