Performance Analysis of Thermal and Surface Roughness Effect of Slider Bearings with Unsteady Fluid Film Lubricant Using Finite Element Method

<div>Effect of surface roughness on LCCP for different values of <span class="nowrap"><svg height="11.0305pt" id="M280" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -10.8241 13.5512 11.0305" width="13.5512pt" 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="M548 455L523 469C505 448 490 439 461 439C416 439 374 447 316 447C144 447 23 310 23 161C23 47 89 -12 179 -12C312 -12 429 106 429 244C429 303 419 344 368 386L371 388C404 383 440 378 474 378C507 378 530 411 548 455ZM350 274C350 191 308 25 198 25C144 25 108 75 108 157C108 264 170 395 276 395C296 395 320 384 333 360C347 334 350 316 350 274Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.347,-5.741)"><path d="M594 262C594 419 464 546 305 546S17 419 17 262S146 -22 305 -22S594 105 594 262ZM538 262C538 131 433 25 305 25S73 131 73 262S177 499 305 499S538 393 538 262ZM489 157C489 176 480 201 468 219C415 228 387 236 336 262C387 288 415 298 468 305C480 324 489 348 488 367C472 378 446 383 424 382C390 339 369 320 321 288C323 346 329 374 350 424C339 445 322 464 305 473C289 464 271 445 261 424C281 374 287 346 290 288C242 320 221 339 187 382C165 383 140 378 122 367C122 348 131 323 143 305C196 296 224 288 275 262C224 236 196 226 143 219C131 200 122 176 123 157C139 146 165 141 187 142C221 185 242 204 290 236C288 178 282 150 261 100C272 79 289 60 306 51C322 60 341 79 351 100C330 150 324 178 321 236C369 204 391 185 424 142C446 141 472 146 489 157Z"></path></g></svg>,</span> at <span class="nowrap"><svg height="8.55521pt" id="M281" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 39.8156 8.55521" width="39.8156pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z"></path></g><g transform="matrix(.013,0,0,-0.013,12.889,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,24.152,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,30.392,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,33.356,0)"><path d="M456 178V225H360V632H320C217 496 115 347 20 206V178H280V106C280 40 276 34 189 27V0H445V27C364 34 360 39 360 106V178H456ZM280 225H82C149 335 214 431 278 520H280V225Z"></path></g></svg>,</span> <span class="nowrap"><svg height="11.0305pt" id="M282" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -10.8241 43.8068 11.0305" width="43.8068pt" 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="M529 97L508 118C475 75 449 58 438 58C428 58 421 66 415 104C393 234 374 403 364 496C345 670 307 712 254 712C220 712 174 691 153 669L161 645C176 653 194 658 206 658C237 658 261 640 278 562C287 522 290 483 293 434C223 269 110 105 23 9L32 -12C59 -6 85 0 108 7C152 64 251 252 300 366C307 297 315 221 337 82C346 24 363 -12 393 -12C425 -12 475 13 529 97Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.174,-5.741)"><path d="M594 262C594 419 464 546 305 546S17 419 17 262S146 -22 305 -22S594 105 594 262ZM538 262C538 131 433 25 305 25S73 131 73 262S177 499 305 499S538 393 538 262ZM489 157C489 176 480 201 468 219C415 228 387 236 336 262C387 288 415 298 468 305C480 324 489 348 488 367C472 378 446 383 424 382C390 339 369 320 321 288C323 346 329 374 350 424C339 445 322 464 305 473C289 464 271 445 261 424C281 374 287 346 290 288C242 320 221 339 187 382C165 383 140 378 122 367C122 348 131 323 143 305C196 296 224 288 275 262C224 236 196 226 143 219C131 200 122 176 123 157C139 146 165 141 187 142C221 185 242 204 290 236C288 178 282 150 261 100C272 79 289 60 306 51C322 60 341 79 351 100C330 150 324 178 321 236C369 204 391 185 424 142C446 141 472 146 489 157Z"></path></g><g transform="matrix(.013,0,0,-0.013,16.885,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.148,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,34.388,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,37.352,0)"><path d="M456 178V225H360V632H320C217 496 115 347 20 206V178H280V106C280 40 276 34 189 27V0H445V27C364 34 360 39 360 106V178H456ZM280 225H82C149 335 214 431 278 520H280V225Z"></path></g></svg>,</span> <span class="nowrap"><svg height="11.0697pt" id="M283" style="vertical-align:-0.2456007pt" version="1.1" viewbox="-0.0498162 -10.8241 50.4225 11.0697" width="50.4225pt" 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="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.243,0)"><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,-0.0091,13.819,-5.741)"><path d="M594 262C594 419 464 546 305 546S17 419 17 262S146 -22 305 -22S594 105 594 262ZM538 262C538 131 433 25 305 25S73 131 73 262S177 499 305 499S538 393 538 262ZM489 157C489 176 480 201 468 219C415 228 387 236 336 262C387 288 415 298 468 305C480 324 489 348 488 367C472 378 446 383 424 382C390 339 369 320 321 288C323 346 329 374 350 424C339 445 322 464 305 473C289 464 271 445 261 424C281 374 287 346 290 288C242 320 221 339 187 382C165 383 140 378 122 367C122 348 131 323 143 305C196 296 224 288 275 262C224 236 196 226 143 219C131 200 122 176 123 157C139 146 165 141 187 142C221 185 242 204 290 236C288 178 282 150 261 100C272 79 289 60 306 51C322 60 341 79 351 100C330 150 324 178 321 236C369 204 391 185 424 142C446 141 472 146 489 157Z"></path></g><g transform="matrix(.013,0,0,-0.013,23.53,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,34.792,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,41.032,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,43.996,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g></svg>,</span> and <span class="nowrap"><svg height="14.2536pt" id="M284" style="vertical-align:-3.429501pt" version="1.1" viewbox="-0.0498162 -10.8241 41.2101 14.2536" width="41.2101pt" 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="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.554,-5.741)"><path d="M594 262C594 419 464 546 305 546S17 419 17 262S146 -22 305 -22S594 105 594 262ZM538 262C538 131 433 25 305 25S73 131 73 262S177 499 305 499S538 393 538 262ZM489 157C489 176 480 201 468 219C415 228 387 236 336 262C387 288 415 298 468 305C480 324 489 348 488 367C472 378 446 383 424 382C390 339 369 320 321 288C323 346 329 374 350 424C339 445 322 464 305 473C289 464 271 445 261 424C281 374 287 346 290 288C242 320 221 339 187 382C165 383 140 378 122 367C122 348 131 323 143 305C196 296 224 288 275 262C224 236 196 226 143 219C131 200 122 176 123 157C139 146 165 141 187 142C221 185 242 204 290 236C288 178 282 150 261 100C272 79 289 60 306 51C322 60 341 79 351 100C330 150 324 178 321 236C369 204 391 185 424 142C446 141 472 146 489 157Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.265,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.528,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,34.768,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g></svg>.</span></div>

Journal of Applied Mathematics

tab4

Table 4

Table 4: Performance Analysis of Thermal and Surface Roughness Effect of Slider Bearings with Unsteady Fluid Film Lubricant Using Finite Element Method 

Table 4 | Performance Analysis of Thermal and Surface Roughness Effect of Slider Bearings with Unsteady Fluid Film Lubricant Using Finite Element Method 