It is the second of a two-part tutorial on designing hopper feeder conveyors. Any combination of and that falls within the limiting mass flow region of the chart will provide mass flow. The different types of discharging aids. A shoot of It must be as close to the front wall as possible and cannot be more than 2 inches away from it. Test results are used to calculate the size of the hopper section outlet and the recommended hopper angle. How do we calculate the drag force which a hopper exerts on a conveyor belt? A 3-deg margin of safety (with respect to the mass-flow hopper angle given in Figure 4) is recommended. If it is not the case, some A mass-flow screw feeder where the screw has a tapered shaft and increasing pitch sections ensures that all material will flow when discharged. To maximize your hoppers effectiveness at moving material into a feeder, keep in mind the following recommendations for hoppers and the feeders they supply. atmosphere. The critical rathole diameter is determined from the following Pressure effects during powder discharge. pipe blockages in pneumatic conveying, 3. The flow of powder in a hopper is linked to 3 properties : The method described below aims at measuring those different properties. Note that the wall friction angle is constant only when the yield locus is a straight line that passes through the origin; otherwise, the wall friction angle decreases with increasing normal stress. Transition Calculator is useful for Generating Flat Pattern Layout or Fabrication Layout of all types of transition shapes such as rectangular to round, square to round, round to rectangular, round to square, pyramid and truncated pyramid transitions. safety valves and vacuum breakers. The performance of an industrial process will be judged, among Reduced potential for material buildup at inlet, Reduced potential for spillage at back and sides. Batch / As defined above the design of the feeder needs to be Charts that provide flow factors for conical and wedge-shaped hoppers are given in Jenike [1]; Examples are shown in Figures 9a and 9b. Thank you very much. We supply Motorized Pulley belt conveyor drives, serving equipment manufacturers directly and end users through a network of independent distributors & local service providers throughout the United States and Latin America. caking) or if some constraints prevented to design the best possible To be noted that these "About" page to know more about those cookies and technologies . | Diversity Inclusion & Equity, A portable conveying system for pharma and food products, Selection Guide for Solids-Drying Systems, Conveyor Selection for Bulk Solids Processes, Facts At Your Fingertips: Hopper Outlet Geometry and Arching, PEMA and Kansas St. University Bulk Solids Innovation Center form partnership, Test Your Knowledge: Focus on Jacketed Vessel Heating, Professional Engineer - Payne + Dolan, Inc. a Walbec Group Company - Appleton, WI, Survey Crew Chief - Payne + Dolan, Inc. - a Walbec Group Company - Appleton, WI, Professional Land Surveyor - Payne + Dolan, Inc. - Walbec Group Company - Appleton, WI, Concrete Project Manager - Zenith Tech Inc. a Walbec Group Company - Waukesha, WI, Senior Test Systems/Electrical and Instrumentation Engineer - Vital Materials Co., Limited - Bowling Green, OH. preferred channel will be created, which will cause the hopper to For each of these bins type, the critical outlet diameter, If you are author or own the copyright of this book, please report to us by using this DMCA report form. Leveling blades and downstream gates need not be used to adjust the flow of the material.Horizontal shutoff gates can be used to perform feeder maintenance but must not be used to regulate flow. fluidization happen which is detrimental to the discharge rate When having designed a mass flow hopper, it is also very important to have a proper design of the equipment taking out the product from the hopper in order to keep the mass flow effect : gates (butterfly valves, gate valves) should be 100% opened, and feeders for instance screw conveyors) should be taking product on the whole length of the outlet opening of the hopper (use of a variable screw . It must be noted that different . A hopper with a rotary valve should have a spool section above the valve inlet (left); otherwise, preferential flow may occur on one side of the hopper (right). This can lead to the calculation of 2 It is calculated from an Ideal hopper design -A properly designed hopper produces uniform material flow to the feeder trough, with material at the front of the hopper moving slightly slower than at the rear of the hopper. hoppers will be preferred, because of the easiness of cleaning. In addition, a properly designed hopper produces a depth of discharged material that is slightly lower than the height of the hopper gate varying based upon the particle size and cohesion of the material. If the width is smaller than the length, assume height = 3 x W. If the length is smaller than the width, assume height = 3 x L. We can now determine the active weight as follows. flow [3] (otherwise, the screw will be full from the beginning Were going to reduce L, length, while keeping W, width, constant. Jenike [1] found that the hopper angle required to allow flow along the walls depends on the friction between the powder and the walls, the friction between powder particles, and the geometry of the hopper. Simply click here to connect instantly to licensing services, where you can choose from a list of options regarding how you would like to reuse the desired content and complete the transaction. Peat, rock, flourno matter which material you process, your hoppers must move it to feeders at an optimal flow rate without damaging it. Rubber pads, directly mounted on the inside of a hopper are Abascus for discharge hopper angle calculation [1], For example, the powder has been determined to have a wall This will continue to broaden the flow channel, and this cyclic fail-flow-empty cycle will continue until the hopper empties. The first step in the design process is to determine the fundamental properties needed to predict the flow behavior of bulk solids: cohesive strength, internal friction, compressibility, wall friction, and permeability. From these characteristics, a critical discharge diameter can be Modify one hopper opening of 38 x 60 to four hopper openings, each at 19 wide x 30 long. From a design point of view, it is important to be able to determine the loads acting on feeders in hopper/feeder combinations and the corresponding power requirements. feeders). Measuring degree of mixing It is important to size properly such feeder, since an undersized The hopper front wall angle must be just big enough to permit material flow. Permeability tests are required to calculate limiting mass-flow discharge rates. As opportunity crude usage increases, unexpected corrosion has become a major issue in piping and process units. By continuing to browse our website, you agree to those policies. To measure the friction between a bulk solid and a vessels wall material, place a sample of the bulk solid inside a retaining ring on a flat coupon of the wall material. which the product will risk to arch. They are abascus, knowing the hopper discharge angle calculated in step 2. We are happy to go over our products and process. Effective tension (Te) = 330 lbs. discharging vessel and the receiving vessel, ensuring an exact The IDEAL path to equity, diversity, & inclusion. 5. Now lets review how to decrease hopper pressure even more. Otherwise, material may flow preferentially from the upside of the valve and affect the flow pattern inside the vessel. Shear properties -Materials that are soft and spongy do not tend to flow well from hoppers.Particles tend to pack into each other causing bridging and promoting poor flow on the feeder. Reduced material speed in the rear of the hopper allows for non-uniform flow and a reduction of bed depth.Reduced material depth means reduced feeder capacity. Here, the word 'hopper' is exclusively used with a special meaning for the converging part leading to a gravity discharge outlet. Funnel flow bins are subject to ratholes. He is a registered professional engineer in Colorado and Massachusetts and a member of AIChE. By contrast, in funnel flow, an active flow channel forms above the outlet, but stagnant material remains (called ratholes) at the periphery of the vessel. Mohrs circles can be used to determine the major consolidation stress and cohesive strength from the yield locus. Knockers are usually powered by compressed air. additional equipments to promote the flow of material. what happens with liquid. flow bin, which, when designed properly will ensure a reliable Hoppers and Hopper Design 44 (0)1204 386723 sales@ajax.co.uk Hoppers and hopper design page with links to useful information on hopper design for avoiding discharge problems and achieving reliable flow. diameter calculated is too large to be feasible, then the addition optimization, 4. rotary Valve, Calculation Follow this guidance to avoid common solids-handling issues, such as erratic flow and no flow. characteristics can be determined thanks to a shear tester (see section on powder characteristics). The powder internal friction : how easy the powder particle can A screw is comprised of a series of flights wound around one or more shafts. 2. the feeder outlet. The plot of the unconfined yield strength (fC) against the major principal stress (1) is the flow function of a bulk solid, and describes the relationship between a bulk materials cohesive strength and its consolidation stress. Adding the hopper drag power requirement to the standard conveyor drive requirement of 1 HP yields a raw horsepower requirement of 21.5 HP. studied to reach the proper discharge rate, but also ensure a In this example, we have one opening and no pressure relief at the hopper bottom. 1. For random-sized material, the inside width of the opening (between skirts) should be a minimum of 2.5 times the diameter of the largest particle. particles. For near-size material, the width should be at least 4 times the diameter of the largest particle. However, it may be necessary to have f5.2 Solid flow pattern As solid flow from a bin, the boundaries between flowing and non-flowing regions define the flow pattern. An example of a powders Flow Function is given in Figure 8. Note that we now have a power requirement of 23.2 HP, including an allowance for gear losses. We can then determine the drag load (aka cutting force) as follows. Acceptable hopper design -Although a T/H of 0.6 is ideal, a T/H of 0.5 to 1.0 is acceptable. Parsons, KS 67357 Phone: +1 620-423-3010 Fax: +1 620-423-3999 Sales: sales@tankconnection.com In our first tutorial, we presented the purposes of hoppers, standard conveyor belt loads, and special hopper loading. not been designed to handle such pressure, it will fail and be The angle of wall friction () is the angle that is formed between the horizontal axis and a line drawn from the origin to a point on the wall yield locus. Measure the pressure and flowrate in two locations of the bed. on Test results are used to calculate the size of the hopper section outlet and the recommended hopper angle. from the University of Natal, South Africa. to the flow of air returning from the discharge point and opposing This behavior eliminates the formation of stagnant regions in the vessel, and affords a first-in, first-out flow sequence, which provides a more uniform velocity profile during operation. outlet diameter to prevent arching. Feeder skirts must taper in the direction of flow from inlet to discharge. In general, for a given No problem. This should prevent blockage at the throat opening. proposes an equation to estimate the discharge rate of fine The flow function is the relationship between the major stress and the unconfined yield strength. Transition Calculator provide complete solution to Transitions Fabrication Layout Markings. Repeat the preshear and shear steps at the same consolidation level for a range of normal stresses. Finally, add hopper drag load to the standard conveyor effective tension, Te, and calculate required power. Hopper Design calculation Uploaded by Hamid Mansouri Description: Hopper Design calculation XLS sheet- for Process Engineers ( for Hopper and Silo Sizing) Copyright: All Rights Reserved Flag for inappropriate content of 126 1 Flow function a b 0 0.035 f C =as 12 +bs 1 + c 1 or ' 0 c 0 0.5 1 Effective angle of friction 1.5 a 0 d =a 44 ln s + b Two types of flow patterns can occur when a bulk solid is discharged from a hopper, bin or silo: A typical funnel flow pattern is shown on the left, and a mass flow pattern is shown on the right. be suitable (hygienic reasons, layout). Sloping walls required for mass flow in wedge-shaped hoppers can be 1012-deg less steep than those required to ensure mass flow in conical hoppers. a bad air balancing can have severe consequences on the performances To calculate the slope of hopper wall: () = 2 + 60 To calculate the minimum outlet diameter for hopper, this equation is used: () = In Craven et al [1], there are six materials of powder tested and four types of wall material of hopper tested, but for this report, we picked only three materials of powder which are wood David S. Morgan is a senior consultant at Jenike & Johanson (3485 Empresa Dr., San Luis Obispo, CA 93401; Phone: 805-541-0901; Email: dmorgan@ jenike.com). Particularly when using Jenike's own This, in turn, reduced required conveyor drive power from 23.2 HP to 12.2 HP. for a hopper discharging to a mixer, to Dilute phase pneumatic conveying design and calculation Figure 3. Once a materials Flow Function has been determined, the minimum outlet width or diameter that will prevent cohesive arching can be calculated, using the hoppers flow factor (ff). It is important to note that, for fine This type is to be preferred to get close to a FIFO The critical rathole dimension is then calculated using Equation (4): In Equation (4), f C is the cohesive strength of the powder at the calculated consolidation pressure. Hoppers with round or square outlets should not be designed at the theoretical mass-flow hopper-angle value. To construct the wall yield locus, plot the shear stress against the normal stress (Figure 5). If the "lump" parameters are used. This design has been done on the basis of considering only rice as a storage matter. 8. Figure 2 : Compared to liquids and gases, chemical engineers training in bulk-solids handling is often lacking. Principles of Shear Testing; Arching and Ratholes in Silos; Minimizing Dust Explosion Risks in . In bulk solid storage discussions, the terms hopper, bin, and silo are often used interchangeably. Log in now. An example calculation section illustrates how to specify storage vessel shapes, outlet sizes, and hopper angles. The yield locus, determined by the shear cell tests, is used to calculate the major principal stress (1), unconfined yield strength (fC), effective angle of friction (), and kinematic angle of internal friction (). 9. this behavior is experienced, Re-calculating the minimum diameters powder that have a high compressibility index. Stress profile in bulk solids silos. Ft. 301 Crawford Pkwy, Clayton, NC 27520. can help "lubricate" the powder and increase the flow, Perform a rheology analysis following Jenike's method. Dilute phase pneumatic conveying design and calculation, 4. These shear cell tests are also used to find the effective angle of friction () and the kinematic angle of internal friction (). Have questions? Jenicke has tabulated, for smooth discharge from the silo. product outside of a bin is its cohesive strength. NEW CONSTRUCTION. Cohesive strength Material with enough cohesive strength due to stickiness or sharp jagged edges can cause slow movement through a transition and possible bridging at the discharge.This may require a large opening or unique hopper design to allow for flow. generating the largest volume of air to release or admit must FIGURE 13. corresponding to crit=fccrit. solution is therefore preferred for small hopper (for Loss In Improve energy efficiency The critical rathole diameter is calculated by first determining the major consolidating pressure, 1, on the powder. Values of the allowable hopper angle (measured from vertical) are on the x -axis, and values of the wall friction angle are on the y -axis. Adding a hopper with an opening 38 wide and 60 long results in a hopper drag load of 6,769 lbs, as follows. diameters can be calculated depending on the type of bin to be hopper / silo. hopper surfaces and material used for construction of hopper. The relationship between the major consolidation stress and the cohesive strength is called the Flow Function, left FIGURE 9a. The flow factor (FF) can be calculated from an abacus presenting particles), C=f(b) and is in the range 0.55
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