Influence of External Jet on Hydraulic Performance and Flow Field Characteristics of Water Jet Propulsion Pump Device

<div>Cloud diagram of turbulent kinetic energy distribution at the outlet section of the nozzle. (a) Original device, (b) <svg height="11.3463pt" id="M29" style="vertical-align:-5.52893pt" version="1.1" viewbox="-0.0498162 -5.81737 15.4824 11.3463" width="15.4824pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"><path d="M135 536C163 536 185 560 185 587C185 617 163 639 136 639C108 639 85 617 85 587C85 560 108 536 135 536ZM34 389C96 380 101 376 101 308V113C101 22 99 -37 93 -80C87 -114 80 -137 68 -152C54 -170 28 -182 -5 -190C-19 -193 -26 -200 -26 -213C-26 -237 -3 -257 10 -257C18 -257 26 -253 36 -246C59 -226 122 -150 157 -50C176 3 180 46 180 111V451C137 433 86 420 34 412V389Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.186,3.132)"><path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.054,3.132)"><path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z"></path></g></svg> = 0, (c) <svg height="11.3463pt" id="M30" style="vertical-align:-5.52893pt" version="1.1" viewbox="-0.0498162 -5.81737 15.4824 11.3463" width="15.4824pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"><path d="M135 536C163 536 185 560 185 587C185 617 163 639 136 639C108 639 85 617 85 587C85 560 108 536 135 536ZM34 389C96 380 101 376 101 308V113C101 22 99 -37 93 -80C87 -114 80 -137 68 -152C54 -170 28 -182 -5 -190C-19 -193 -26 -200 -26 -213C-26 -237 -3 -257 10 -257C18 -257 26 -253 36 -246C59 -226 122 -150 157 -50C176 3 180 46 180 111V451C137 433 86 420 34 412V389Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.186,3.132)"><path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.054,3.132)"><path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z"></path></g></svg> = 4, (d) <svg height="11.3463pt" id="M31" style="vertical-align:-5.52893pt" version="1.1" viewbox="-0.0498162 -5.81737 15.4824 11.3463" width="15.4824pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"><path d="M135 536C163 536 185 560 185 587C185 617 163 639 136 639C108 639 85 617 85 587C85 560 108 536 135 536ZM34 389C96 380 101 376 101 308V113C101 22 99 -37 93 -80C87 -114 80 -137 68 -152C54 -170 28 -182 -5 -190C-19 -193 -26 -200 -26 -213C-26 -237 -3 -257 10 -257C18 -257 26 -253 36 -246C59 -226 122 -150 157 -50C176 3 180 46 180 111V451C137 433 86 420 34 412V389Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.186,3.132)"><path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.054,3.132)"><path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z"></path></g></svg> = 8, (e) <svg height="11.3463pt" id="M32" style="vertical-align:-5.52893pt" version="1.1" viewbox="-0.0498162 -5.81737 15.4824 11.3463" width="15.4824pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"><path d="M135 536C163 536 185 560 185 587C185 617 163 639 136 639C108 639 85 617 85 587C85 560 108 536 135 536ZM34 389C96 380 101 376 101 308V113C101 22 99 -37 93 -80C87 -114 80 -137 68 -152C54 -170 28 -182 -5 -190C-19 -193 -26 -200 -26 -213C-26 -237 -3 -257 10 -257C18 -257 26 -253 36 -246C59 -226 122 -150 157 -50C176 3 180 46 180 111V451C137 433 86 420 34 412V389Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.186,3.132)"><path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.054,3.132)"><path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z"></path></g></svg> = 12, (f) <svg height="11.3463pt" id="M33" style="vertical-align:-5.52893pt" version="1.1" viewbox="-0.0498162 -5.81737 15.4824 11.3463" width="15.4824pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"><path d="M135 536C163 536 185 560 185 587C185 617 163 639 136 639C108 639 85 617 85 587C85 560 108 536 135 536ZM34 389C96 380 101 376 101 308V113C101 22 99 -37 93 -80C87 -114 80 -137 68 -152C54 -170 28 -182 -5 -190C-19 -193 -26 -200 -26 -213C-26 -237 -3 -257 10 -257C18 -257 26 -253 36 -246C59 -226 122 -150 157 -50C176 3 180 46 180 111V451C137 433 86 420 34 412V389Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.186,3.132)"><path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.054,3.132)"><path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z"></path></g></svg> = 16 (m s<sup>−1</sup>).</div>

Shock and Vibration

fig16

Figure 16

Figure 16: Influence of External Jet on Hydraulic Performance and Flow Field Characteristics of Water Jet Propulsion Pump Device 