Viscosity mu is property of gases and fluids that characterises their resistance to flow. For most materials viscosity is highly sensitive to temperature. Below is a table that gives the viscosity of SAE 10w oil at different temperatures. Determine an equation that can be fitted to the data.

Question:   Viscosity mu is property of gases and fluids that characterises their resistance to

flow. For most

materials viscosity is highly sensitive to temperature. Below is a table that gives the viscosity of SAE

10w oil at different temperatures. Determine an equation that can be fitted to the data.

T 0c	-20	0	20	40	60	80	100	120
mu(N-s/m2)	4.0000	.38	.095	.032	0.0150	0.0078	0.0045	0.0032

%in script file

T=[-20:20:120];

mu=[4 0.38 0.095 0.032 0.015 0.0078 0.0045 0.0032];

Tk=T+273;

P=polyfit(Tk,log(mu),2);

Tplot=273+(-20:120);

muplot=exp(P(1)*Tplot.^2+P(2)*Tplot+P(3));

semilogy(Tk,mu,'r',Tplot,muplot);

xlabel('temperature(kelvin)'

ylabel('viscosity(N-S/M^2)')

title('Given data fitted as shown in plot')

Matlab for engineers