Race engine air cleaner housing

An air cleaner housing for holding a cylindrical filter element and providing a laminar flow of air to a carburetor of a vehicle engine, said housing comprising:

• a bottom plate having an outer peripheral portion;
• a top cover spaced above said bottom plate, said top cover having a top peripheral portion above the outer peripheral portion of the bottom plate;
• said bottom plate, top cover and the cylindrical filter element defining a chamber for filtered air entering said chamber through the cylindrical filter element;
• said bottom plate having a contour extending radially inward from said outer peripheral portion, said contour being approximated by a first equation
• 3 y = ∑ i = 0 n ⁢ a i ⁢ x i
• wherein x1 is an independent variable on the interval 130 to 704;
• y1 is a variable dependant upon x1;
• a1 is a constant taken from the set of
• a0=4985.318;
• a1=−121.16523;
• a2=1.2687824;
• a3=−0.0070787996;
• a4=2.2003603e-05;
• a5=−3.3993253e-08;
• a6=6.3768494e-12;
• a7=5.5080608e-14;
• a8=−5.2974058e-17;
• a9=−3.3657906e-20;
• a10=4.6965338e-23;
• a11=4.2960913e-26;
• a12=−5.4097746e-29;
• a13=−2.0260889e-33;
• a14=−2.4257828e-35;
• a15=5.4669649e-38;
• a16=2.8181943e-42;
• a17=4.7997388e44;
• a18=2.9677608e-47;
• a19=−5.6220424e-51;
• said top cover having a contour extending radially inward from said top peripheral portion, said contour being approximated by a second equation
• 4 y 2 = ∑ i = 0 b ⁢ b i ⁢ x 2 i
• wherein x2 is an independent variable on the interval 130 to 1089;
• y2 is a variable dependant upon x2;
• b1 is a constant taken from the set of
• b0=4985.318;
• b1=−121.16523;
• b2=1.2687824;
• b3=−0.0070787996;
• b4=2.2003603e-05;
• b5=−3.3993253e-08;
• b6=6.3768494e-12;
• b7=5.5080608e-14;
• b8=−5.2974058e-17;
• b9=−3.3657906e-20;
• b10=4.6965338e-23;
• b11=4.2960913e-26;
• b12=−5.4097746e-29;
• b13=−2.0260889e-33;
• b14=−2.4257828e-35;
• b15=5.4669649e-38;
• b16=2.8181943e-42;
• b17=4.7997388e-44;
• b18=2.9677608e-47;
• b19=−5.6220424e-51;
• and
• n=19.