char = A;code = 65 char = c;code = 99 char = o;code = 111 char = u;code = 117 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = a;code = 97 char = t;code = 116 char = t;code = 116 char = e;code = 101 char = n;code = 110 char = u;code = 117 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ,;code = 44 char = ;code = 32 char = p;code = 112 char = h;code = 104 char = a;code = 97 char = s;code = 115 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = g;code = 103 char = r;code = 114 char = o;code = 111 char = u;code = 117 char = p;code = 112 char = ;code = 32 char = v;code = 118 char = e;code = 101 char = l;code = 108 char = o;code = 111 char = c;code = 99 char = i;code = 105 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = l;code = 108 char = i;code = 105 char = q;code = 113 char = u;code = 117 char = i;code = 105 char = d;code = 100 char = -;code = 45 char = f;code = 102 char = i;code = 105 char = l;code = 108 char = l;code = 108 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = p;code = 112 char = i;code = 105 char = p;code = 112 char = e;code = 101 char = s;code = 115 char = :;code = 58 char = ;code = 32 char = T;code = 84 char = h;code = 104 char = e;code = 101 char = o;code = 111 char = r;code = 114 char = y;code = 121 char = ,;code = 44 char = ;code = 32 char = e;code = 101 char = x;code = 120 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = i;code = 105 char = m;code = 109 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = ,;code = 44 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = e;code = 101 char = x;code = 120 char = a;code = 97 char = m;code = 109 char = p;code = 112 char = l;code = 108 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = w;code = 119 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = r;code = 114 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = r;code = 114 char = c;code = 99 char = u;code = 117 char = r;code = 114 char = y;code = 121 char = .;code = 46 result sql = Acoustic attenuation, phase and group velocities in liquid-filled pipes: Theory, experiment, and examples of water and mercury.
Acoustic attenuation, phase and group velocities in liquid-filled pipes: Theory, experiment, and examples of water and mercury.char = D;code = 68 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = G;code = 71 char = r;code = 114 char = o;code = 111 char = s;code = 115 char = s;code = 115 char = o;code = 111 char = ';code = 39 char = s;code = 115 char = ;code = 32 char = [;code = 91 char = A;code = 65 char = c;code = 99 char = u;code = 117 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = ;code = 32 char = 2;code = 50 char = 4;code = 52 char = ,;code = 44 char = ;code = 32 char = 2;code = 50 char = 9;code = 57 char = 9;code = 57 char = -;code = 45 char = 3;code = 51 char = 1;code = 49 char = 1;code = 49 char = ;code = 32 char = (;code = 40 char = 1;code = 49 char = 9;code = 57 char = 7;code = 55 char = 1;code = 49 char = );code = 41 char = ];code = 93 char = ;code = 32 char = f;code = 102 char = o;code = 111 char = r;code = 114 char = m;code = 109 char = u;code = 117 char = l;code = 108 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ,;code = 44 char = ;code = 32 char = w;code = 119 char = h;code = 104 char = i;code = 105 char = c;code = 99 char = h;code = 104 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = e;code = 101 char = d;code = 100 char = i;code = 105 char = c;code = 99 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = p;code = 112 char = h;code = 104 char = a;code = 97 char = s;code = 115 char = e;code = 101 char = ;code = 32 char = s;code = 115 char = p;code = 112 char = e;code = 101 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = a;code = 97 char = g;code = 103 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = a;code = 97 char = x;code = 120 char = i;code = 105 char = s;code = 115 char = y;code = 121 char = m;code = 109 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = s;code = 115 char = i;code = 105 char = d;code = 100 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = l;code = 108 char = i;code = 105 char = q;code = 113 char = u;code = 117 char = i;code = 105 char = d;code = 100 char = -;code = 45 char = f;code = 102 char = i;code = 105 char = l;code = 108 char = l;code = 108 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = u;code = 117 char = b;code = 98 char = e;code = 101 char = ,;code = 44 char = ;code = 32 char = i;code = 105 char = s;code = 115 char = ;code = 32 char = h;code = 104 char = e;code = 101 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = e;code = 101 char = x;code = 120 char = t;code = 116 char = e;code = 101 char = n;code = 110 char = d;code = 100 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = m;code = 109 char = p;code = 112 char = l;code = 108 char = e;code = 101 char = x;code = 120 char = ;code = 32 char = d;code = 100 char = o;code = 111 char = m;code = 109 char = a;code = 97 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = o;code = 111 char = r;code = 114 char = d;code = 100 char = e;code = 101 char = r;code = 114 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = e;code = 101 char = d;code = 100 char = i;code = 105 char = c;code = 99 char = t;code = 116 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = t;code = 116 char = t;code = 116 char = e;code = 101 char = n;code = 110 char = u;code = 117 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ,;code = 44 char = ;code = 32 char = a;code = 97 char = s;code = 115 char = ;code = 32 char = w;code = 119 char = e;code = 101 char = l;code = 108 char = l;code = 108 char = ;code = 32 char = a;code = 97 char = s;code = 115 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = s;code = 115 char = o;code = 111 char = u;code = 117 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = s;code = 115 char = p;code = 112 char = e;code = 101 char = e;code = 101 char = d;code = 100 char = ,;code = 44 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = f;code = 102 char = u;code = 117 char = n;code = 110 char = c;code = 99 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = f;code = 102 char = r;code = 114 char = e;code = 101 char = q;code = 113 char = u;code = 117 char = e;code = 101 char = n;code = 110 char = c;code = 99 char = y;code = 121 char = .;code = 46 char = ;code = 32 char = M;code = 77 char = e;code = 101 char = a;code = 97 char = s;code = 115 char = u;code = 117 char = r;code = 114 char = e;code = 101 char = m;code = 109 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = s;code = 115 char = o;code = 111 char = u;code = 117 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = s;code = 115 char = p;code = 112 char = e;code = 101 char = e;code = 101 char = d;code = 100 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = t;code = 116 char = t;code = 116 char = e;code = 101 char = n;code = 110 char = u;code = 117 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = w;code = 119 char = e;code = 101 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = f;code = 102 char = o;code = 111 char = r;code = 114 char = m;code = 109 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = w;code = 119 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = r;code = 114 char = -;code = 45 char = f;code = 102 char = i;code = 105 char = l;code = 108 char = l;code = 108 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = P;code = 80 char = o;code = 111 char = l;code = 108 char = y;code = 121 char = ;code = 32 char = (;code = 40 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = h;code = 104 char = y;code = 121 char = l;code = 108 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = h;code = 104 char = a;code = 97 char = c;code = 99 char = r;code = 114 char = y;code = 121 char = l;code = 108 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = );code = 41 char = ;code = 32 char = (;code = 40 char = P;code = 80 char = M;code = 77 char = M;code = 77 char = A;code = 65 char = );code = 41 char = ;code = 32 char = t;code = 116 char = u;code = 117 char = b;code = 98 char = e;code = 101 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = t;code = 116 char = e;code = 101 char = r;code = 114 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = r;code = 114 char = a;code = 97 char = d;code = 100 char = i;code = 105 char = u;code = 117 char = s;code = 115 char = ,;code = 44 char = ;code = 32 char = b;code = 98 char = =;code = 61 char = 4;code = 52 char = .;code = 46 char = 4;code = 52 char = 4;code = 52 char = 5;code = 53 char = ;code = 32 char = c;code = 99 char = m;code = 109 char = ,;code = 44 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = r;code = 114 char = a;code = 97 char = n;code = 110 char = g;code = 103 char = e;code = 101 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = w;code = 119 char = a;code = 97 char = v;code = 118 char = e;code = 101 char = n;code = 110 char = u;code = 117 char = m;code = 109 char = b;code = 98 char = e;code = 101 char = r;code = 114 char = -;code = 45 char = r;code = 114 char = a;code = 97 char = d;code = 100 char = i;code = 105 char = u;code = 117 char = s;code = 115 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = d;code = 100 char = u;code = 117 char = c;code = 99 char = t;code = 116 char = ,;code = 44 char = ;code = 32 char = k;code = 107 char = (;code = 40 char = 1;code = 49 char = );code = 41 char = b;code = 98 char = ,;code = 44 char = ;code = 32 char = f;code = 102 char = r;code = 114 char = o;code = 111 char = m;code = 109 char = ;code = 32 char = 2;code = 50 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = 1;code = 49 char = 0;code = 48 char = .;code = 46 char = ;code = 32 char = P;code = 80 char = a;code = 97 char = r;code = 114 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = r;code = 114 char = e;code = 101 char = e;code = 101 char = ;code = 32 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = f;code = 102 char = o;code = 111 char = u;code = 117 char = r;code = 114 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = w;code = 119 char = e;code = 101 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = v;code = 118 char = e;code = 101 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = g;code = 103 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = a;code = 97 char = s;code = 115 char = u;code = 117 char = r;code = 114 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = s;code = 115 char = o;code = 111 char = u;code = 117 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = s;code = 115 char = p;code = 112 char = e;code = 101 char = e;code = 101 char = d;code = 100 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = d;code = 100 char = a;code = 97 char = m;code = 109 char = p;code = 112 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = w;code = 119 char = e;code = 101 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = m;code = 109 char = p;code = 112 char = a;code = 97 char = r;code = 114 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = w;code = 119 char = i;code = 105 char = t;code = 116 char = h;code = 104 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = o;code = 111 char = r;code = 114 char = e;code = 101 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = e;code = 101 char = d;code = 100 char = i;code = 105 char = c;code = 99 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = .;code = 46 char = ;code = 32 char = T;code = 84 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = o;code = 111 char = r;code = 114 char = y;code = 121 char = ;code = 32 char = w;code = 119 char = a;code = 97 char = s;code = 115 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = n;code = 110 char = ;code = 32 char = u;code = 117 char = s;code = 115 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = e;code = 101 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = m;code = 109 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = s;code = 115 char = o;code = 111 char = u;code = 117 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = s;code = 115 char = p;code = 112 char = e;code = 101 char = e;code = 101 char = d;code = 100 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = a;code = 97 char = t;code = 116 char = t;code = 116 char = e;code = 101 char = n;code = 110 char = u;code = 117 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = s;code = 115 char = t;code = 116 char = a;code = 97 char = i;code = 105 char = n;code = 110 char = l;code = 108 char = e;code = 101 char = s;code = 115 char = s;code = 115 char = -;code = 45 char = s;code = 115 char = t;code = 116 char = e;code = 101 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = i;code = 105 char = p;code = 112 char = e;code = 101 char = ;code = 32 char = f;code = 102 char = i;code = 105 char = l;code = 108 char = l;code = 108 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = w;code = 119 char = i;code = 105 char = t;code = 116 char = h;code = 104 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = r;code = 114 char = c;code = 99 char = u;code = 117 char = r;code = 114 char = y;code = 121 char = ;code = 32 char = h;code = 104 char = a;code = 97 char = v;code = 118 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = s;code = 115 char = a;code = 97 char = m;code = 109 char = e;code = 101 char = ;code = 32 char = d;code = 100 char = i;code = 105 char = m;code = 109 char = e;code = 101 char = n;code = 110 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = u;code = 117 char = s;code = 115 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = S;code = 83 char = p;code = 112 char = a;code = 97 char = l;code = 108 char = l;code = 108 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = N;code = 78 char = e;code = 101 char = u;code = 117 char = t;code = 116 char = r;code = 114 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = S;code = 83 char = o;code = 111 char = u;code = 117 char = r;code = 114 char = c;code = 99 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = t;code = 116 char = ;code = 32 char = O;code = 79 char = a;code = 97 char = k;code = 107 char = ;code = 32 char = R;code = 82 char = i;code = 105 char = d;code = 100 char = g;code = 103 char = e;code = 101 char = ;code = 32 char = N;code = 78 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = L;code = 76 char = a;code = 97 char = b;code = 98 char = o;code = 111 char = r;code = 114 char = a;code = 97 char = t;code = 116 char = o;code = 111 char = r;code = 114 char = y;code = 121 char = ,;code = 44 char = ;code = 32 char = T;code = 84 char = e;code = 101 char = n;code = 110 char = n;code = 110 char = e;code = 101 char = s;code = 115 char = s;code = 115 char = e;code = 101 char = e;code = 101 char = .;code = 46 char = <;code = 60 char = b;code = 98 char = r;code = 114 char = /;code = 47 char = >;code = 62 result sql = Del Grosso's [Acustica 24, 299-311 (1971)] formulation, which predicts the phase speed of propagating axisymmetric modes inside a liquid-filled tube, is here extended to the complex domain in order to predict the attenuation, as well as the sound speed, of the modes as a function of frequency. Measurements of the sound speeds and the attenuations of the modes were performed in a water-filled Poly (methyl methacrylate) (PMMA) tube of internal radius, b=4.445 cm, in the range of the wavenumber-radius product, k(1)b, from 2 to 10. Parts of three or four modes were investigated and the measured sound speeds and the damping of the modes were compared with the theoretical predictions. The theory was then used to estimate the modal sound speeds and attenuations in a stainless-steel pipe filled with mercury having the same dimensions as are used in the Spallation Neutron Source at Oak Ridge National Laboratory, Tennessee.
Publication: J. Acoust. Soc. Am. 2010 Nov ;128(5)::2610-24. :doi: 10.1121/1.3495943.
Publication Date: 2010 Nov
Study Author(s): Baik, Kyungmin;Jiang, Jian;Leighton, Timothy G;
Institution: Institute of Sound and Vibration Research, University of Southampton, Highfield, Southampton, Hampshire SO17 1BJ, United Kingdom.
Shortcut link to this study:
Del Grosso's [Acustica 24, 299-311 (1971)] formulation, which predicts the phase speed of propagating axisymmetric modes inside a liquid-filled tube, is here extended to the complex domain in order to predict the attenuation, as well as the sound speed, of the modes as a function of frequency. Measurements of the sound speeds and the attenuations of the modes were performed in a water-filled Poly (methyl methacrylate) (PMMA) tube of internal radius, b=4.445 cm, in the range of the wavenumber-radius product, k(1)b, from 2 to 10. Parts of three or four modes were investigated and the measured sound speeds and the damping of the modes were compared with the theoretical predictions. The theory was then used to estimate the modal sound speeds and attenuations in a stainless-steel pipe filled with mercury having the same dimensions as are used in the Spallation Neutron Source at Oak Ridge National Laboratory, Tennessee.
PMID: 21110559