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Q. 1: (a) Determine whether the following velocity fields are one, two or three-dimensional V = [ae-b]t, V = ax'i + bx), V = [ax*e-"]t (ii) (iii) (i) V = axi – by), V = (ax + t)i – by?j. (vi) V = ax'i + bcz) (iv) (v) (vii) V= a(x² + y*)lE, (vii) V= axyl - byztj, (ix) V = (ae-by)i (x) V = by?j + cyk, V = (ay?e-bt, (xii) V= by) – axk (xi) (xii) V = axt + (t – by)j, (xiv) V= axt- byj + (t- cz)k

Q. 1: (a) Determine whether the following velocity fields are one, two or three-dimensional V = [ae-b]t, V = ax'i + bx), V = [ax*e-"]t (ii) (iii) (i) V = axi – by), V = (ax + t)i – by?j. (vi) V = ax'i + bcz) (iv) (v) (vii) V= a(x² + y*)lE, (vii) V= axyl - byztj, (ix) V = (ae-by)i (x) V = by?j + cyk, V = (ay?e-bt, (xii) V= by) – axk (xi) (xii) V = axt + (t – by)j, (xiv) V= axt- byj + (t- cz)k

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Q. 1: (a) Determine whether the following velocity fields are one, two or three-dimensional (ii) V = ax'i + bxj, V = [ax*e-D*Jt (i) (iii) (iv) V = axi – byj. V = (ax + t)i – by²j, (vi) V = ax?i + bczj (v) (vii) V = a(x² +y*)^GE, (vii) V= axyl - byztj, (ix) V= (ae-by)i %3D V = byj + cyk, (xi) V= (aye-be)j, (xii) V = byj – axk (x) (xii) V = axt + (t – by)j, (xiv) V= axt – byj + (t – cz)k
Transcribed Image Text:Q. 1: (a) Determine whether the following velocity fields are one, two or three-dimensional (ii) V = ax'i + bxj, V = [ax*e-D*Jt (i) (iii) (iv) V = axi – byj. V = (ax + t)i – by²j, (vi) V = ax?i + bczj (v) (vii) V = a(x² +y*)^GE, (vii) V= axyl - byztj, (ix) V= (ae-by)i %3D V = byj + cyk, (xi) V= (aye-be)j, (xii) V = byj – axk (x) (xii) V = axt + (t – by)j, (xiv) V= axt – byj + (t – cz)k
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