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               638                                                                                  Polymer Processing


               film. In terms of direction, most frequently this process  As far as the mechanical properties are concerned, the
               takes place vertically upward and less frequently verti-  tear (test name: Elmendorf tear), impact (test name: dart
               cally downward and horizontally. The major advantages  drop), and tensile strengths give an indication of the me-
               of this method over the first method are the economics and  chanical strength of the tubular film. The amorphous as
               the speed of production.                          well as the crystalline orientation development during the
                 Film blowing and fiber spinning have general similar-  blowing process depend on the stretching imparted in the
               ities. Both processes have free boundaries, and the flows  machine and transverse directions. Finally, besides orien-
               are predominantly elongational. They differ with respect  tation, the amount of crystallinity as well as the size of the
               to the orientation generated. The fiber spinning process  crystallites may play a significant role in the mechanical
               imparts orientation in the axial direction only, whereas  and physical properties of the blown film.
               the film blowing process imparts unequal (in general) bi-  This process is not as fast as fiber spinning, which re-
               axial orientation. The two axes of orientation are the axial  sults in a more uniform temperature distribution in the film
               (machine; MD) direction due to the drawing of the tube  relative to that in the fiber. Usually, cooling is achieved by
               and the circumferential (nonmachine,or transverse; TD)  blowing an air stream from an axisymmetric air ring to-
               direction due to the blowup of the tube. The mechanical  ward the external film surface. In some cases, in addition
               properties of blown film are nearly uniform in both di-  to the external air ring, an internal air cooling system is
               rections as a result of biaxial orientation, and this is the  provided. Finally, in some other cases, especially in thick
               reason for producing flat film by the film blowing process.  tube and large bag production, cooling is achieved by a
                 The two main parameters of this process are the blow  water spray or ring. Note that in the latter cases the film
               ratio (or blow-up ratio), B R (or BUR), and the machine-  must be dried before winding up, which leads to an addi-
               direction draw (or drawdown) ratio, D R . The blow ratio  tional step.
               is defined as the ratio of the final tube radius, R f , to the  Commercially, the film blowing process is extensively
               initial tube outside radius just downstream of the annular  used for the production of polyolefin (LDPE, HDPE, and
               die, R 0 :                                        PP) wrapping film. Mechanical strength, optical clarity,
                                                                 which depends on the degree and type of crystallinity for
                                       R f
                                  B R =   .              (31)    crystallizable polymers, and the uniformity of thickness
                                       R 0
                                                                 (variations of about 5% for films with a length scale of 10
               Similarly, the draw ratio is defined as            mm to 10 m is acceptable) are the three most important
                                                                 and general properties of the film.
                                        V
                                  D R =  ,               (32)
                                       v 0
                                                                 D. Stability
               where V is the takeup speed, and v 0 is the die extrusion
               rate. The final film thickness, H f , can be calculated from  The rate of production in one of the three processing oper-
               the blow and draw ratios and the mass conservation equa-  ations just discussed, i.e., fiber spinning, film casting, and
               tion as follows:                                  film blowing, is limited by the onset of instabilities. Two
                                                                 major types of instabilities are encountered in these pro-
                                       H 0
                                 H f =     ;             (33)    cesses. A significant degree of drawdown is used to reduce
                                      B R D R
                                                                 the fiber diameter or film thickness. If the stresses become
               where H 0 is the initial film thickness or, equivalently,  too high, the polymeric material can fail by means of cohe-
               the die gap thickness. Typical parameters in the film  sive fracture. The filament or film merely ruptures. In the
               blowing process are H 0 = 1–2mm R 0 = 2.5–25 cm;  second type of instability, called draw resonance, the fiber
               v 0 = 1–5cm/sec; B R = 1.5–5; D R = 5–25;  P = 50 Pa  diameter begins to oscillate periodically when a critical
               (i.e., the internal pressure is about 0.05% of the atmo-  drawdown ratio is reached. In the case of blown film, this
               spheric pressure); and freeze-line height Z = 0.25–5m.  is manifested in variations in the film thickness leading to
               An average value of the blow and draw ratios and of the  fluctuations in the bubble diameter. For Newtonian fluids
               initial film thickness yields a final film thickness on the  thecriticaldrawratiofortheonsetofdrawresonance, D Rc ,
               order of 50 µm (i.e., about 2 mils in English units). In  is about 20. For polymeric materials D Rc is significantly
               terms of nomenclature, the final film is considered to be  lower with values of less than 5.0 observed. The type of
               thick-gauge blown film whenever its thickness exceeds  instability depends on the nature of the polymer. Polymers
               75 µm or equivalently 3 mils. In terms of applications,  that exhibit strainhardening extensional viscosity (i.e., the
               thick-gauge blown film is used in the production of  extensional viscosity increases with increasing strain and
               dunnage bags, heavy-duty shrink film, greenhouse film,  strain rate) such as LDPE tend to exhibit cohesive fracture
               lawn and garden bags, and resin and chemical packaging.  but not draw resonance, whereas polymers such LLDPE
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