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diff --git a/858/CH4/EX4.22/example_22.sce b/858/CH4/EX4.22/example_22.sce
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+++ b/858/CH4/EX4.22/example_22.sce
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+clc
+clear 
+printf("example 4.22 page number 163\n\n")
+
+//to find minimum fluidization velocity
+
+d=120*10^-6    //in m
+density=2500   //particle density in kg/m3
+e_min=0.45;
+density_water=1000   //in kg/m3
+viscosity=0.9*10^-3;   //in Pa-s
+umf=(d^2*(density-density_water)*9.8*e_min^3)/(150*viscosity*(1-e_min));
+printf("minimum fludization velocity = %f m/s",umf)
+
+Re_mf=(d*umf*density_water)/(viscosity*(1-e_min));
+
+
+//given that uo/umf=10
+function[f] = F(e)
+    f = e^3+1.657*e-1.675;
+endfunction
+
+//initial guess
+x = 10;
+e = fsolve(x,F);
+
+printf("\n\ne = %f",e)
+length_ratio=(1-e_min)/(1-e);
+printf("\n\nratio of heights = %f",length_ratio)