Page 276 - 48Fundamentals of Compressible Fluid Mechanics
P. 276

238                                       CHAPTER 13. OBLIQUE-SHOCK

                                            With the combined tables the ratios can be easily calculated. Note that hand cal-
                                            culations requires endless time looking up graphical representation of the solution.
                                            Utilizing the POTTO–GDC provides a solution in just a few clicks.




                                                                                                 +
                                                                                      +-+1"-9




                                                                . .


                                            Example 13.11:      	    	    ),"- -9$  )    9-)0+    +
                                                                                             and Mach number is 2.85.

                                            Again calculate the ratios downstream after the second shock and the deflection
                                                                 . .
                                            Similar example as before but here Mach angel is "
                                            angle.
                                              SOLUTION
                                            Here the Mach number and the Mach angle are given. With these pieces of infor-
                                            mation utilizing the GDC provides the following:

                                                                                            c      7	8


                                                                      4
                                                       4
                                                              4
                                                                  +1"
                                                                       -9)09
                                                                                               9
                                                        -9
                                                                                      "
                                            and the additional information by utilizing the minimal info button in GDC provides
                                                                                                       "1+ +

                                                                             c      7      5     7 8

                                                                                                       7	8


                                                       4
                                                              4
                                                                                                       7 8
                                                                      "
                                                        -9
                                                                                               90
                                                                                          -"
                                                               9-)19
                                                                               the so called reflective shock provide the
                                                                                                       "1+ +
                                                                               9
                                            following information          9
                                                                                       7

                                            With the deflection Angle of c
                                                                                               5


                                                                                             c      7 8


                                                              4
                                                                      4
                                                       4
                                                               9  -"
                                                       -9-)19
                                                                       " "   " -"1
                                                 and the additional information of     90"    9       7 8     ")190+-"

                                                                    	                 +1    7	8  7	8  ")190+-"

                                                                                               5


                                                       4
                                                              4


                                                                                               5
                                                                                       7
                                                                                c
                                                                               9
                                                                        91"
                                                               "
                                                       -9-)19
                                                                                       -"1
                                                                  "
                                                                                       1"1
                                                                                               ")

                                                                                       7





                                                                              90    +1

                                                                                  1"





                                                                 . .

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