Page 260 - Pressure Vessel Design Manual
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238    Pressure Vessel Design Manual

                                                               0  The two most important  effects on refractory  linings are
                     General Refractory Notes                    creep and shrinkage.
                                                               0  Optimum  anchor  spacing is  1.5-3  times  the thickness  of
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          0  Once the hot spots have occurred, there is obviously a heat   the lining.
            leak path to the vessel wall. The subsequent heating of the   0  Optimum anchor depth is approximately two-thirds of the
            shell locally also affects the anchors. Since the anchors are   lining thickness.
            made of stainless steel, they grow more than the shell and
            therefore  relax their  grip on  the  refractory.  This  in  turn
                                                                                ~
            allows  the  gap  between  the  shell  and  the  refractory  to         Notation
            grow.
          0  Refractory  failures  are  categorized  as either  tension  or
            compression failures. These failures can result from bend-   Shell Properties
            ing or pure tensiodcompression loads. In a tension failure
            the crack is initiated and grows. A "cold joint"  is the pre-   D = shell ID, in.
            ferred fix for a tension failure.                     D, = shell OD, in.
                                                                                              I:
          0  A  compression  failure  will  tend  to pull  the  lining  away   E, = modulus of elasticity, shell,  si
            from  the  wall.  A  flexible joint  with  ceramic  fiber  is  a   I, = moment of inertia, shell, in.
            good solution of this type of failure.                 K, = thermal conductivity, shell, Btu/in.-hr-ft2-"F
          0  During operation, the hot face is in compression, varying   t, =thickness,  shell, in.
            through  the  thickness  to  tension  against  the  steel  shell.   W, = specific density, steel, pcf
            This is caused by  thermal  expansion of the  material  and   a, = thermal coefficient of expansion, shell, in./in./"F
            thermal  gradient forces developed  internally.
          0  During the cooling cycle, the hot face will be in tension. If   Refractory Properties
            the cooling cycle is io0 rapid  or the anchoring too  rigid,
            then the tensile  stress of the material becomes critical in   DL = refractory OD, in.
            resisting cracking.                                       dL = refractory ID, in.
          0  Due to low tensile strength, cracking occurs at early stages   EL = modulus of elasticity, refractory, psi
            of load cycles, which ultimately results in load redistribu-   F,  = allowable compressive stress, refractory, psi
            tion.                                                      IL = moment of inertia, refractory, in. 4
          0  Temperature  loading,  such  as  heat-up,  cool-down,  and   KL = thermal conductivity, refractory, Btu/in.-hr-ft'-
            holding  periods  at  lower  temperatures,  results  in  stress   "F
            cycling.                                              STS, STL =irreversible  shrinkage of lining @ temperatures
          0  Refractory properties  are nonlinear.                         Ts, TL
          0  Compressive  strength  is  practically independent  of  tem-   tL = thickness, refractory, in.
            perature, whereas tensile strength is highly dependent  on   WL = specific density of  refractory, pcf
            temperature.                                              aL = thermal  coefficient  of  expansion,  refractory,
          0  Refractory  material  undergoes  a  permanent  change  in     in./in./"  F
            volume  due to  both  loss  of  moisture  during  the  dryout   pL = Poisson's  ratio, refractory
            cycle as well as a change in the chemical  structure. The
            effects of moisture loss as well as chemical metamorphosis   General
            are irreversible.
          0  During  initial  heating,  the steel  shell has  a  tendency  to   E,  = modulus of elasticity of composite section, psi
            pull  away from the refractory.  The cooler the shell, the   hi, h,  = film coefficients, inside or outside,  Btu/ft2-hr/"F
            less the impact on the refractory. The cooler shell tends to   P = internal pressure, psig
            hold the refractory in compression longer.               Q =heat  loss through wall, Btu/ft2-hr
            The use of hoIding periods during the heat-up  and cool-   T,  =temperature,  outside ambient, "F
            down  cycles results  in  relaxation  of  compressive  stresses   T,  = temperature,  outside  ambient  during  construc-
            due to  creep.  However,  this  same  creep  may  introduce   tion, "F
            cracks once the lining is cooled off.                   TL =temperature,  refractory, mean,  OF
                                                                   TL~ =temperature,  lining, inside, OF
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