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- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/07%3A_The_Delft_Head_Loss_and_Limit_Deposit_Velocity_Framework/7.06%3A_A_Head_Loss_Model_for_Homogeneous_Slurry_Transport\[\ \mathrm{i}_{\mathrm{m}}-\mathrm{i}_{\mathrm{l}}=\mathrm{i}_{\mathrm{l}} \cdot \frac{\mathrm{1}+\mathrm{R}_{\mathrm{s} \mathrm{d}} \cdot \mathrm{C}_{\mathrm{v}}}{\left(\alpha_{\mathrm{h}} \cdot \la...\[\ \mathrm{i}_{\mathrm{m}}-\mathrm{i}_{\mathrm{l}}=\mathrm{i}_{\mathrm{l}} \cdot \frac{\mathrm{1}+\mathrm{R}_{\mathrm{s} \mathrm{d}} \cdot \mathrm{C}_{\mathrm{v}}}{\left(\alpha_{\mathrm{h}} \cdot \lambda_{\mathrm{l}} \cdot \mathrm{R}_{\mathrm{s d}} \cdot \mathrm{C}_{\mathrm{v}}+\mathrm{1}\right)^{2}}-\mathrm{i}_{\mathrm{l}} \cdot \frac{\left(\alpha_{\mathrm{h}} \cdot \lambda_{\mathrm{l}} \cdot \mathrm{R}_{\mathrm{s} \mathrm{d}} \cdot \mathrm{C}_{\mathrm{v}}+\mathrm{1}\right)^{2}}{\left(\alpha_…
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/05%3A_Initiation_of_Motion_and_Sediment_Transport/5.03%3A_Erosion_Bed_Load_and_Suspended_Load\[\ \mathrm{C}_{\mathrm{v s}}(\mathrm{z})=\frac{\frac{\mathrm{C}_{\mathrm{v B}}}{\mathrm{1 - C}_{\mathrm{v B}}}{ \cdot \mathrm{e}^{-\frac{\mathrm{6} \cdot \mathrm{v}_{\mathrm{t}}}{\beta_{\mathrm{sm}} ...\[\ \mathrm{C}_{\mathrm{v s}}(\mathrm{z})=\frac{\frac{\mathrm{C}_{\mathrm{v B}}}{\mathrm{1 - C}_{\mathrm{v B}}}{ \cdot \mathrm{e}^{-\frac{\mathrm{6} \cdot \mathrm{v}_{\mathrm{t}}}{\beta_{\mathrm{sm}} \cdot \mathrm{\kappa} \cdot \mathrm{u}_{*}} \cdot \frac{\mathrm{z}}{\mathrm{H}}}}}{\mathrm{1}+\frac{\mathrm{C}_{\mathrm{v B}}}{\mathrm{1 - C}_{\mathrm{v B}}} \cdot \mathrm{e}^{-\frac{\mathrm{6} \cdot \mathrm{v}_{\mathrm{t}}}{\beta_{\mathrm{sm}} \cdot \mathrm{\kappa} \cdot \mathrm{u}_{*}} \cdot {\fr…
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/09%3A_Comparison_of_the_DHLLDV_Framework_with_Other_Models/9.05%3A_Comparison_Graded_Sands_and_GravelsComparing the two models one can say that in the Durand & Condolios (1952) model the v 50 decreases with increasing grading of the PSD, with a constant proportionality of the pressure losses and the h...Comparing the two models one can say that in the Durand & Condolios (1952) model the v 50 decreases with increasing grading of the PSD, with a constant proportionality of the pressure losses and the hydraulic gradient with the line speed, while the Wilson et al. (1992) model keeps the v 50 constant, but changes the proportionality of the pressure losses and the hydraulic gradient with the line speed.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/00%3A_Front_Matter/03%3A_About_the_Author_and_EditorIn 1992 and 1993 he was a member of the management board of Mechanical Engineering & Marine Technology of the DUT. The fundamental part of the research focuses on the cutting processes of sand, clay a...In 1992 and 1993 he was a member of the management board of Mechanical Engineering & Marine Technology of the DUT. The fundamental part of the research focuses on the cutting processes of sand, clay and rock, sedimentation processes in Trailing Suction Hopper Dredges and the associated erosion processes.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/08%3A_Usage_of_the_DHLLDV_Framework/8.06%3A_The_Heterogeneous_Transport_RegimeThe Slip Relative Squared S rs is the Slip Velocity of a particle v sl divided by the Terminal Settling Velocity of a particle v t squared and this S rs value is a good indication of the Relative Exce...The Slip Relative Squared S rs is the Slip Velocity of a particle v sl divided by the Terminal Settling Velocity of a particle v t squared and this S rs value is a good indication of the Relative Excess Hydraulic Gradient due to the solids, since its contribution to the total is 90%-100%. The S rs value gives the contribution of the kinetic energy losses to the Relative Excess Hydraulic Gradient.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/07%3A_The_Delft_Head_Loss_and_Limit_Deposit_Velocity_Framework/7.08%3A_The_Limit_Deposit_VelocityThis equation shows that the Limit Deposit Velocity of small particles depends on the terminal settling velocity with a correction for hindered settling v t ·(1-C vs /κ C ) β , the spatial volumetric ...This equation shows that the Limit Deposit Velocity of small particles depends on the terminal settling velocity with a correction for hindered settling v t ·(1-C vs /κ C ) β , the spatial volumetric concentration C vs , the relative submerged density R sd , the pipe diameter D p and the Darcy Weisbach friction factor λ l . The term (1-C vs /κ C ) β ·C v has a maximum at a spatial concentration of 15% for small particles and at about 20-25% for large particles, depending on the value of the pow…
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/07%3A_The_Delft_Head_Loss_and_Limit_Deposit_Velocity_Framework/7.04%3A_A_Head_Loss_Model_for_Sliding_Bed_Slurry_Transport\[\ \begin{array}{left} \mathrm{F}_{\mathrm{n}} &=\mathrm{2} \cdot \mathrm{\rho}_{\mathrm{l}} \cdot \mathrm{R}_{\mathrm{s} \mathrm{d}} \cdot \mathrm{g} \cdot \mathrm{C}_{\mathrm{v} \mathrm{b}} \cdot \...\[\ \begin{array}{left} \mathrm{F}_{\mathrm{n}} &=\mathrm{2} \cdot \mathrm{\rho}_{\mathrm{l}} \cdot \mathrm{R}_{\mathrm{s} \mathrm{d}} \cdot \mathrm{g} \cdot \mathrm{C}_{\mathrm{v} \mathrm{b}} \cdot \mathrm{R}^{2} \cdot \Delta \mathrm{L} \cdot(-(\pi-\beta) \cdot \cos (\beta)+2-\sin (\beta)) \\ &=\mathrm{2} \cdot \rho_{\mathrm{l}} \cdot \mathrm{R}_{\mathrm{s} \mathrm{d}} \cdot \mathrm{g} \cdot \mathrm{C}_{\mathrm{v b}} \cdot \mathrm{A}_{\mathrm{p}} \cdot \Delta \mathrm{L} \cdot \frac{(-(\pi-\bet…
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/10%3A_Application_of_the_Theory_on_a_Cutter_Suction_Dredge/10.04%3A_The_Relative_Excess_Hydraulic_Gradient_of_Pump_and_PipelineFor a D p =0.762 m (30 inch) pipe, a particle diameter of d=0.5 mm, a pipe length of 4000 m, a water depth of 20 m and an elevation of 10 m, the relative excess hydraulic gradient curves are given in ...For a D p =0.762 m (30 inch) pipe, a particle diameter of d=0.5 mm, a pipe length of 4000 m, a water depth of 20 m and an elevation of 10 m, the relative excess hydraulic gradient curves are given in Figure 10.4-1. The graph shows the homogeneous curve (light brown), the DHLLDV Framework curve for constant spatial volumetric concentration (red), the DHLLDV Framework curve for constant delivered volumetric concentration (dashed green) and the resulting pump curve for the mixture (dark brown).
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/08%3A_Usage_of_the_DHLLDV_Framework/8.01%3A_IntroductionThe hydraulic gradient curves and the relative excess hydraulic gradient curves for the fixed or stationary bed regime (FB), for the sliding bed regime (SB), for the heterogeneous flow regime (He) and...The hydraulic gradient curves and the relative excess hydraulic gradient curves for the fixed or stationary bed regime (FB), for the sliding bed regime (SB), for the heterogeneous flow regime (He) and for the homogeneous flow regime (Ho) have to be determined. All equation have two numbers, the first number refers to the location where the equation is derived or first used, and the second number is the equation number in this chapter.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/09%3A_Comparison_of_the_DHLLDV_Framework_with_Other_Models/9.01%3A_IntroductionWith the knowledge that the ELM often used for the homogeneous regime and most models for the heterogeneous regime are proportional or close to proportional to both the volumetric concentration and th...With the knowledge that the ELM often used for the homogeneous regime and most models for the heterogeneous regime are proportional or close to proportional to both the volumetric concentration and the relative submerged density, the conclusion can be drawn that the intersection point of these two regimes (the transition velocity) is almost independent of the volumetric concentration and the relative submerged density.
- https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Slurry_Transport_(Miedema)/06%3A_Slurry_Transport_a_Historical_Overview/6.01%3A_IntroductionWith the knowledge that the main Dutch and Belgium dredging contractors use the Durand & Condolios (1952) and Fuhrboter (1961) models in a modified form, while companies in the USA and Canada often us...With the knowledge that the main Dutch and Belgium dredging contractors use the Durand & Condolios (1952) and Fuhrboter (1961) models in a modified form, while companies in the USA and Canada often use the Wilson (1992) model in a modified form or the SRC model, the study started with a comparison of these models.
